15x^2-75x^2+60=0

Solution for 15x^2-75x^2+60=0 equation:

Simplifying
15x2 + -75x2 + 60 = 0

Reorder the terms:
60 + 15x2 + -75x2 = 0

Combine like terms: 15x2 + -75x2 = -60x2
60 + -60x2 = 0

Solving
60 + -60x2 = 0

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + -60x2 = 0 + -60

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

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

Divide each side by '-60'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}