0.5x^2-5=5

Solution for 0.5x^2-5=5 equation:

Simplifying
0.5x2 + -5 = 5

Reorder the terms:
-5 + 0.5x2 = 5

Solving
-5 + 0.5x2 = 5

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 0.5x2 = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 0.5x2 = 5 + 5
0.5x2 = 5 + 5

Combine like terms: 5 + 5 = 10
0.5x2 = 10

Divide each side by '0.5'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}