Question

solve the following by factoring. 12x^2 -7x -12 = 0

Answer 1

Solution:

The given equation is

$12x^2 -7x -12 = 0$

Now we will factor the middle term as per the ac-method because the given equation is a quadratic equation.

$12x^2 -7x -12 = 0\\\\12x^2-16x+9x-12=0\\\\4x(3x-4)+3(3x-4)=0\\\\(3x-4)(4x+3)=0\\\\3x-4=0,or, 4x+3=0\\\\x=\frac{4}{3},x=\frac{-3}{4}$