-12.5=-5x^2+37.5

Solution for -12.5=-5x^2+37.5 equation:

Simplifying
-12.5 = -5x2 + 37.5

Reorder the terms:
-12.5 = 37.5 + -5x2

Solving
-12.5 = 37.5 + -5x2

Solving for variable 'x'.

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

Add '5x2' to each side of the equation.
-12.5 + 5x2 = 37.5 + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-12.5 + 5x2 = 37.5 + 0
-12.5 + 5x2 = 37.5

Add '12.5' to each side of the equation.
-12.5 + 12.5 + 5x2 = 37.5 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + 5x2 = 37.5 + 12.5
5x2 = 37.5 + 12.5

Combine like terms: 37.5 + 12.5 = 50
5x2 = 50

Divide each side by '5'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}