3x^2-150=282

Solution for 3x^2-150=282 equation:

Simplifying
3x2 + -150 = 282

Reorder the terms:
-150 + 3x2 = 282

Solving
-150 + 3x2 = 282

Solving for variable 'x'.

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

Add '150' to each side of the equation.
-150 + 150 + 3x2 = 282 + 150

Combine like terms: -150 + 150 = 0
0 + 3x2 = 282 + 150
3x2 = 282 + 150

Combine like terms: 282 + 150 = 432
3x2 = 432

Divide each side by '3'.
x2 = 144

Simplifying
x2 = 144

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