144-x^2=3x^2

Solution for 144-x^2=3x^2 equation:

Simplifying
144 + -1x2 = 3x2

Solving
144 + -1x2 = 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.
144 + -1x2 + -3x2 = 3x2 + -3x2

Combine like terms: -1x2 + -3x2 = -4x2
144 + -4x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
144 + -4x2 = 0

Add '-144' to each side of the equation.
144 + -144 + -4x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -4x2 = 0 + -144
-4x2 = 0 + -144

Combine like terms: 0 + -144 = -144
-4x2 = -144

Divide each side by '-4'.
x2 = 36

Simplifying
x2 = 36

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