3x^2-x^2-288=0

Solution for 3x^2-x^2-288=0 equation:

Simplifying
3x2 + -1x2 + -288 = 0

Reorder the terms:
-288 + 3x2 + -1x2 = 0

Combine like terms: 3x2 + -1x2 = 2x2
-288 + 2x2 = 0

Solving
-288 + 2x2 = 0

Solving for variable 'x'.

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

Add '288' to each side of the equation.
-288 + 288 + 2x2 = 0 + 288

Combine like terms: -288 + 288 = 0
0 + 2x2 = 0 + 288
2x2 = 0 + 288

Combine like terms: 0 + 288 = 288
2x2 = 288

Divide each side by '2'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}