.5x^2-12.5=75

Solution for .5x^2-12.5=75 equation:

Simplifying
0.5x2 + -12.5 = 75

Reorder the terms:
-12.5 + 0.5x2 = 75

Solving
-12.5 + 0.5x2 = 75

Solving for variable 'x'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + 0.5x2 = 75 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + 0.5x2 = 75 + 12.5
0.5x2 = 75 + 12.5

Combine like terms: 75 + 12.5 = 87.5
0.5x2 = 87.5

Divide each side by '0.5'.
x2 = 175

Simplifying
x2 = 175

Take the square root of each side:
x = {-13.228756555, 13.228756555}