3x^2-24+144=150

Solution for 3x^2-24+144=150 equation:

Simplifying
3x2 + -24 + 144 = 150

Reorder the terms:
-24 + 144 + 3x2 = 150

Combine like terms: -24 + 144 = 120
120 + 3x2 = 150

Solving
120 + 3x2 = 150

Solving for variable 'x'.

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

Add '-120' to each side of the equation.
120 + -120 + 3x2 = 150 + -120

Combine like terms: 120 + -120 = 0
0 + 3x2 = 150 + -120
3x2 = 150 + -120

Combine like terms: 150 + -120 = 30
3x2 = 30

Divide each side by '3'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}