360=(4x-4)(3x+3)

Solution for 360=(4x-4)(3x+3) equation:

Simplifying
360 = (4x + -4)(3x + 3)

Reorder the terms:
360 = (-4 + 4x)(3x + 3)

Reorder the terms:
360 = (-4 + 4x)(3 + 3x)

Multiply (-4 + 4x) * (3 + 3x)
360 = (-4(3 + 3x) + 4x * (3 + 3x))
360 = ((3 * -4 + 3x * -4) + 4x * (3 + 3x))
360 = ((-12 + -12x) + 4x * (3 + 3x))
360 = (-12 + -12x + (3 * 4x + 3x * 4x))
360 = (-12 + -12x + (12x + 12x2))

Combine like terms: -12x + 12x = 0
360 = (-12 + 0 + 12x2)
360 = (-12 + 12x2)

Solving
360 = -12 + 12x2

Solving for variable 'x'.

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

Add '-12x2' to each side of the equation.
360 + -12x2 = -12 + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
360 + -12x2 = -12 + 0
360 + -12x2 = -12

Add '-360' to each side of the equation.
360 + -360 + -12x2 = -12 + -360

Combine like terms: 360 + -360 = 0
0 + -12x2 = -12 + -360
-12x2 = -12 + -360

Combine like terms: -12 + -360 = -372
-12x2 = -372

Divide each side by '-12'.
x2 = 31

Simplifying
x2 = 31

Take the square root of each side:
x = {-5.567764363, 5.567764363}