4x^2+2(x+3)(x-3)-12=0

Solution for 4x^2+2(x+3)(x-3)-12=0 equation:

Simplifying
4x2 + 2(x + 3)(x + -3) + -12 = 0

Reorder the terms:
4x2 + 2(3 + x)(x + -3) + -12 = 0

Reorder the terms:
4x2 + 2(3 + x)(-3 + x) + -12 = 0

Multiply (3 + x) * (-3 + x)
4x2 + 2(3(-3 + x) + x(-3 + x)) + -12 = 0
4x2 + 2((-3 * 3 + x * 3) + x(-3 + x)) + -12 = 0
4x2 + 2((-9 + 3x) + x(-3 + x)) + -12 = 0
4x2 + 2(-9 + 3x + (-3 * x + x * x)) + -12 = 0
4x2 + 2(-9 + 3x + (-3x + x2)) + -12 = 0

Combine like terms: 3x + -3x = 0
4x2 + 2(-9 + 0 + x2) + -12 = 0
4x2 + 2(-9 + x2) + -12 = 0
4x2 + (-9 * 2 + x2 * 2) + -12 = 0
4x2 + (-18 + 2x2) + -12 = 0

Reorder the terms:
-18 + -12 + 4x2 + 2x2 = 0

Combine like terms: -18 + -12 = -30
-30 + 4x2 + 2x2 = 0

Combine like terms: 4x2 + 2x2 = 6x2
-30 + 6x2 = 0

Solving
-30 + 6x2 = 0

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 6x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 6x2 = 0 + 30
6x2 = 0 + 30

Combine like terms: 0 + 30 = 30
6x2 = 30

Divide each side by '6'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}