2x^2=4x^2-32

Solution for 2x^2=4x^2-32 equation:

Simplifying
2x2 = 4x2 + -32

Reorder the terms:
2x2 = -32 + 4x2

Solving
2x2 = -32 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
2x2 + -4x2 = -32 + 4x2 + -4x2

Combine like terms: 2x2 + -4x2 = -2x2
-2x2 = -32 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2x2 = -32 + 0
-2x2 = -32

Divide each side by '-2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}