Solve Cubic Equations - Quick Factoring Method

[AnamikaKumari-vldz]

Sir can you tell why we write 0 in RHS?

[brijpalverma]

(x2-4). (x2-5x-6)and (x2+x-6) HCF please solve this sum

[ChavoMysterio]

Factoring By Grouping
3x^3+21x^2-4x-28=0
3x^2(x+7)-4(x+7)=0
(3x^2-4)(x+7)=0

x+7=0
x=-7

3x^2-4=0
3x^2=4
x^2=4/3
|x|=(2/√3)=(2√3)/3

x=(2√3)/3
x=(-2√3)/3

Solution Set: {(-2√3)/3, (2√3)/3, -7}