-2x^2+60=-3x^2+160

Solution for -2x^2+60=-3x^2+160 equation:

Simplifying
-2x2 + 60 = -3x2 + 160

Reorder the terms:
60 + -2x2 = -3x2 + 160

Reorder the terms:
60 + -2x2 = 160 + -3x2

Solving
60 + -2x2 = 160 + -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
60 + -2x2 + 3x2 = 160 + -3x2 + 3x2

Combine like terms: -2x2 + 3x2 = 1x2
60 + 1x2 = 160 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
60 + 1x2 = 160 + 0
60 + 1x2 = 160

Add '-60' to each side of the equation.
60 + -60 + 1x2 = 160 + -60

Combine like terms: 60 + -60 = 0
0 + 1x2 = 160 + -60
1x2 = 160 + -60

Combine like terms: 160 + -60 = 100
1x2 = 100

Divide each side by '1'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}