3x^2=12x^2-144

Solution for 3x^2=12x^2-144 equation:

Simplifying
3x2 = 12x2 + -144

Reorder the terms:
3x2 = -144 + 12x2

Solving
3x2 = -144 + 12x2

Solving for variable 'x'.

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

Add '-12x2' to each side of the equation.
3x2 + -12x2 = -144 + 12x2 + -12x2

Combine like terms: 3x2 + -12x2 = -9x2
-9x2 = -144 + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-9x2 = -144 + 0
-9x2 = -144

Divide each side by '-9'.
x2 = 16

Simplifying
x2 = 16

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