80-3x^2=2x^2

Solution for 80-3x^2=2x^2 equation:

Simplifying
80 + -3x2 = 2x2

Solving
80 + -3x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
80 + -3x2 + -2x2 = 2x2 + -2x2

Combine like terms: -3x2 + -2x2 = -5x2
80 + -5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
80 + -5x2 = 0

Add '-80' to each side of the equation.
80 + -80 + -5x2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -5x2 = 0 + -80
-5x2 = 0 + -80

Combine like terms: 0 + -80 = -80
-5x2 = -80

Divide each side by '-5'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}