Answer:
<h3>x = - 3 or x = 2</h3>
Step-by-step explanation:
2x² + 2x - 12 = 0
Divide all the terms by 2 to simplify the terms
That's
x² + x - 6 = 0
<u>Write x as a difference</u>
That's
x² + 3x - 2x - 6 = 0
<u>Factor x out of the equation</u>
That's
x( x + 3) - 2x - 6 = 0
<u>Factor out - 2 from the expression</u>
x(x + 3) - 2( x + 3) = 0
<u>Factor out x + 3 from the expression</u>
That's
( x + 3)(x - 2) = 0
<h3>x + 3 = 0 x - 2 = 0</h3>
<h3>x = - 3 x = 2</h3>
Hope this helps you