(2x^2)=(3x^2-64)

Solution for (2x^2)=(3x^2-64) equation:

Simplifying
(2x2) = (3x2 + -64)

Reorder the terms:
(2x2) = (-64 + 3x2)

Remove parenthesis around (-64 + 3x2)
(2x2) = -64 + 3x2

Solving
(2x2) = -64 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
(2x2) + -3x2 = -64 + 3x2 + -3x2

Combine like terms: (2x2) + -3x2 = -1x2
-1x2 = -64 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1x2 = -64 + 0
-1x2 = -64

Divide each side by '-1'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}