(2x^2)-12=(x+2)(x-2)

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

Simplifying
(2x2) + -12 = (x + 2)(x + -2)

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

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

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

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

Combine like terms: 2x + -2x = 0
-12 + (2x2) = (-4 + 0 + x2)
-12 + (2x2) = (-4 + x2)

Solving
-12 + (2x2) = -4 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-12 + (2x2) + -1x2 = -4 + x2 + -1x2

Combine like terms: (2x2) + -1x2 = 1x2
-12 + 1x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 1x2 = -4 + 0
-12 + 1x2 = -4

Add '12' to each side of the equation.
-12 + 12 + 1x2 = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 1x2 = -4 + 12
1x2 = -4 + 12

Combine like terms: -4 + 12 = 8
1x2 = 8

Divide each side by '1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}