(2x+2)(3x-3)=296

Solution for (2x+2)(3x-3)=296 equation:

Simplifying
(2x + 2)(3x + -3) = 296

Reorder the terms:
(2 + 2x)(3x + -3) = 296

Reorder the terms:
(2 + 2x)(-3 + 3x) = 296

Multiply (2 + 2x) * (-3 + 3x)
(2(-3 + 3x) + 2x * (-3 + 3x)) = 296
((-3 * 2 + 3x * 2) + 2x * (-3 + 3x)) = 296
((-6 + 6x) + 2x * (-3 + 3x)) = 296
(-6 + 6x + (-3 * 2x + 3x * 2x)) = 296
(-6 + 6x + (-6x + 6x2)) = 296

Combine like terms: 6x + -6x = 0
(-6 + 0 + 6x2) = 296
(-6 + 6x2) = 296

Solving
-6 + 6x2 = 296

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 6x2 = 296 + 6

Combine like terms: -6 + 6 = 0
0 + 6x2 = 296 + 6
6x2 = 296 + 6

Combine like terms: 296 + 6 = 302
6x2 = 302

Divide each side by '6'.
x2 = 50.33333333

Simplifying
x2 = 50.33333333

Take the square root of each side:
x = {-7.094598884, 7.094598884}