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Solving Quadratic Equation “4𝑥^2 = 16𝑥 + 84” | Step-by-Step Algebra Solution - Math Doodle
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This video will guide you through [How to Solve Quadratic Equation “4𝑥^2 = 16𝑥 + 84”].
📌 How to solve a quadratic equation by factoring
✓ Step 1. Write the quadratic equation in standard form 𝑎𝑥^2 + 𝑏𝑥 + 𝑐 = 0.
✓ Step 2. Factor the quadratic expression.
✓ Step 3. Use the Zero Product Property ➜ If 𝑎 • 𝑏 = 0, then either 𝑎 = 0 or 𝑏 = 0 or both.
✓ Step 4. Solve the linear equations.
📌 How to Factor Trinomials of the Form 𝑥^2 + 𝑏𝑥 + 𝑐.
✓ Step 1. Write the factors as two binomials with first terms 𝑥 ➜ (𝑥 )(𝑥 ).
✓ Step 2. Find two numbers 𝑚 and 𝑛 that
- Multiply to 𝑐 ➜ 𝑚 • 𝑛 = 𝑐
- Add to 𝑏 ➜ 𝑚 + 𝑛 = 𝑏
✓ Step 3. Use 𝑚 and 𝑛 as the last terms of the factors ➜ (𝑥 + 𝑚)(𝑥 + 𝑛).
🔑 Key Things to Remember:
☞ Quadratic Equation ➜ an equation of the form 𝑎𝑥^2 + 𝑏𝑥 + 𝑐 = 0.
☞ Zero Product Property ➜ If 𝑎 • 𝑏 = 0, then either 𝑎 = 0 or 𝑏 = 0 or both.
〰️
✅ More BITE-SIZE VIDEOS on “Solving Quadratic Equations”
〰️
〰️
〰️
📖 About Math Doodle: This channel is our effort to support students, teachers, and parents by sharing our tutorial and problem-walkthrough contents that cover a wide range of algebra topics!
Hopefully, you have found the math help you were looking for! 🙏 Thank you for checking out our videos! 💯
〰️
🌏 Translated titles and subtitles have been added to this video:
Spanish: Resolución de ecuaciones cuadráticas “4x^2 = 16x + 84” | Solución de álgebra paso a paso
French: Résolution d'équation quadratique “4x^2 = 16x + 84” | Solution d'algèbre étape par étape
German: Quadratische Gleichung lösen “4x^2 = 16x + 84” | Schritt-für-Schritt-Algebra-Lösung
Portuguese: Resolvendo equação quadrática “4x^2 = 16x + 84” | Solução álgebra passo a passo
Hindi: द्विघात समीकरण को हल करना “4x^2 = 16x + 84” | चरण-दर-चरण बीजगणित समाधान
Filipino: Paglutas ng Quadratic Equation “4x^2 = 16x + 84” | Step-by-Step na Algebra Solution
Indonesian: Memecahkan Persamaan Kuadrat “4x^2 = 16x + 84” | Solusi Aljabar Langkah-demi-Langkah
Japanese: 二次方程式を解く “4x^2 = 16x + 84” | ステップバイステップの代数ソリューション
Russian: Решение квадратного уравнения “4x^2 = 16x + 84” | Пошаговое решение по алгебре
Vietnamese: Giải Phương Trình Bậc Hai “4x^2 = 16x + 84” | Giải pháp đại số từng bước
📌 How to solve a quadratic equation by factoring
✓ Step 1. Write the quadratic equation in standard form 𝑎𝑥^2 + 𝑏𝑥 + 𝑐 = 0.
✓ Step 2. Factor the quadratic expression.
✓ Step 3. Use the Zero Product Property ➜ If 𝑎 • 𝑏 = 0, then either 𝑎 = 0 or 𝑏 = 0 or both.
✓ Step 4. Solve the linear equations.
📌 How to Factor Trinomials of the Form 𝑥^2 + 𝑏𝑥 + 𝑐.
✓ Step 1. Write the factors as two binomials with first terms 𝑥 ➜ (𝑥 )(𝑥 ).
✓ Step 2. Find two numbers 𝑚 and 𝑛 that
- Multiply to 𝑐 ➜ 𝑚 • 𝑛 = 𝑐
- Add to 𝑏 ➜ 𝑚 + 𝑛 = 𝑏
✓ Step 3. Use 𝑚 and 𝑛 as the last terms of the factors ➜ (𝑥 + 𝑚)(𝑥 + 𝑛).
🔑 Key Things to Remember:
☞ Quadratic Equation ➜ an equation of the form 𝑎𝑥^2 + 𝑏𝑥 + 𝑐 = 0.
☞ Zero Product Property ➜ If 𝑎 • 𝑏 = 0, then either 𝑎 = 0 or 𝑏 = 0 or both.
〰️
✅ More BITE-SIZE VIDEOS on “Solving Quadratic Equations”
〰️
〰️
〰️
📖 About Math Doodle: This channel is our effort to support students, teachers, and parents by sharing our tutorial and problem-walkthrough contents that cover a wide range of algebra topics!
Hopefully, you have found the math help you were looking for! 🙏 Thank you for checking out our videos! 💯
〰️
🌏 Translated titles and subtitles have been added to this video:
Spanish: Resolución de ecuaciones cuadráticas “4x^2 = 16x + 84” | Solución de álgebra paso a paso
French: Résolution d'équation quadratique “4x^2 = 16x + 84” | Solution d'algèbre étape par étape
German: Quadratische Gleichung lösen “4x^2 = 16x + 84” | Schritt-für-Schritt-Algebra-Lösung
Portuguese: Resolvendo equação quadrática “4x^2 = 16x + 84” | Solução álgebra passo a passo
Hindi: द्विघात समीकरण को हल करना “4x^2 = 16x + 84” | चरण-दर-चरण बीजगणित समाधान
Filipino: Paglutas ng Quadratic Equation “4x^2 = 16x + 84” | Step-by-Step na Algebra Solution
Indonesian: Memecahkan Persamaan Kuadrat “4x^2 = 16x + 84” | Solusi Aljabar Langkah-demi-Langkah
Japanese: 二次方程式を解く “4x^2 = 16x + 84” | ステップバイステップの代数ソリューション
Russian: Решение квадратного уравнения “4x^2 = 16x + 84” | Пошаговое решение по алгебре
Vietnamese: Giải Phương Trình Bậc Hai “4x^2 = 16x + 84” | Giải pháp đại số từng bước
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