x^2=4x^2-72

Solution for x^2=4x^2-72 equation:

Simplifying
x2 = 4x2 + -72

Reorder the terms:
x2 = -72 + 4x2

Solving
x2 = -72 + 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.
x2 + -4x2 = -72 + 4x2 + -4x2

Combine like terms: x2 + -4x2 = -3x2
-3x2 = -72 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3x2 = -72 + 0
-3x2 = -72

Divide each side by '-3'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}