5x^2-128=3x^2

Solution for 5x^2-128=3x^2 equation:

Simplifying
5x2 + -128 = 3x2

Reorder the terms:
-128 + 5x2 = 3x2

Solving
-128 + 5x2 = 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.
-128 + 5x2 + -3x2 = 3x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
-128 + 2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-128 + 2x2 = 0

Add '128' to each side of the equation.
-128 + 128 + 2x2 = 0 + 128

Combine like terms: -128 + 128 = 0
0 + 2x2 = 0 + 128
2x2 = 0 + 128

Combine like terms: 0 + 128 = 128
2x2 = 128

Divide each side by '2'.
x2 = 64

Simplifying
x2 = 64

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