-1.5x^2+120=10

Solution for -1.5x^2+120=10 equation:

Simplifying
-1.5x2 + 120 = 10

Reorder the terms:
120 + -1.5x2 = 10

Solving
120 + -1.5x2 = 10

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 + -1.5x2 = 10 + -120

Combine like terms: 120 + -120 = 0
0 + -1.5x2 = 10 + -120
-1.5x2 = 10 + -120

Combine like terms: 10 + -120 = -110
-1.5x2 = -110

Divide each side by '-1.5'.
x2 = 73.33333333

Simplifying
x2 = 73.33333333

Take the square root of each side:
x = {-8.563488386, 8.563488386}