Solving 6x^2+4x=0 by factoring, done fast in 1.3 minutes

Welcome to this fast-paced video on solving the equation 6x^2+4x=0 by factoring. In just 1.3 minutes, you will learn a quick and easy method for finding the solutions of this quadratic equation.

To begin, we rewrite 6x^2+4x=0 as (3x)(2x)+(2)(2x)=0. We can then factor out the common factor of 2x to get 2x(3x+2)=0. Using the principle of zero products, we set each factor equal to zero and solve for x.

First, we have 2x=0, which gives us x=0. Next, we have 3x+2=0, which we solve by subtracting 2 from both sides to get 3x=-2. Dividing by 3, we get x=-2/3.

So the solutions to the equation are x=0 and x=-2/3.

This method of factoring quadratic equations can be applied to many other examples as well, making it a useful tool for solving various mathematical problems.

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🎯 Keywords quadratic equation, factoring, solutions, fast method, principle of zero products, common factor, examples, mathematical problems

🤔 15 Common Internet Questions 🤔

1️⃣ How do you solve 6x^2+4x=0 by factoring?
Answer Rewrite the equation as (3x)(2x)+(2)(2x)=0, factor out the common factor of 2x to get 2x(3x+2)=0, set each factor equal to zero and solve for x.

2️⃣ What is the principle of zero products?
Answer The principle of zero products states that if the product of two or more factors is equal to zero, then at least one of the factors must be equal to zero.

3️⃣ What is a quadratic equation?
Answer A quadratic equation is an equation in the form of ax^2+bx+c=0, where a, b, and c are constants and x is the variable.

4️⃣ What is factoring in math?
Answer Factoring is the process of breaking down a mathematical expression into its factors, which are numbers or other expressions that can be multiplied together to get the original expression.

5️⃣ What is a common factor?
Answer A common factor is a factor that two or more numbers or expressions have in common.

6️⃣ How do you solve a quadratic equation?
Answer There are various methods for solving quadratic equations, including factoring, completing the square, and using the quadratic formula.

7️⃣ What are the solutions to 6x^2+4x=0?
Answer The solutions are x=0 and x=-2/3.

8️⃣ What are the factors of 6x^2+4x?
Answer The factors are (3x)(2x) and (2)(2x).

9️⃣ Can you solve a quadratic equation without factoring?
Answer Yes, there are other methods for solving quadratic equations, such as completing the square and using the quadratic formula.

🔟 What are some examples of quadratic equations?
Answer Some examples of quadratic equations are x^2+2x+1=0, 4x^2-5x+1=0, and 2x^2+3x-2=0.

1️⃣1️⃣ What is the difference between a linear