2((2x^2)-72)=324

Solution for 2((2x^2)-72)=324 equation:

Simplifying
2((2x2) + -72) = 324

Reorder the terms:
2(-72 + (2x2)) = 324
(-72 * 2 + (2x2) * 2) = 324
(-144 + 4x2) = 324

Solving
-144 + 4x2 = 324

Solving for variable 'x'.

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

Add '144' to each side of the equation.
-144 + 144 + 4x2 = 324 + 144

Combine like terms: -144 + 144 = 0
0 + 4x2 = 324 + 144
4x2 = 324 + 144

Combine like terms: 324 + 144 = 468
4x2 = 468

Divide each side by '4'.
x2 = 117

Simplifying
x2 = 117

Take the square root of each side:
x = {-10.816653826, 10.816653826}