5x^2-3x^2-80=0

Solution for 5x^2-3x^2-80=0 equation:

Simplifying
5x2 + -3x2 + -80 = 0

Reorder the terms:
-80 + 5x2 + -3x2 = 0

Combine like terms: 5x2 + -3x2 = 2x2
-80 + 2x2 = 0

Solving
-80 + 2x2 = 0

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 2x2 = 0 + 80

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

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

Divide each side by '2'.
x2 = 40

Simplifying
x2 = 40

Take the square root of each side:
x = {-6.32455532, 6.32455532}