4x^2+72=6x^2

Solution for 4x^2+72=6x^2 equation:

Simplifying
4x2 + 72 = 6x2

Reorder the terms:
72 + 4x2 = 6x2

Solving
72 + 4x2 = 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
72 + 4x2 + -6x2 = 6x2 + -6x2

Combine like terms: 4x2 + -6x2 = -2x2
72 + -2x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
72 + -2x2 = 0

Add '-72' to each side of the equation.
72 + -72 + -2x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -2x2 = 0 + -72
-2x2 = 0 + -72

Combine like terms: 0 + -72 = -72
-2x2 = -72

Divide each side by '-2'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}