50=.5x^2

Solution for 50=.5x^2 equation:

Simplifying
50 = 0.5x2

Solving
50 = 0.5x2

Solving for variable 'x'.

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

Add '-0.5x2' to each side of the equation.
50 + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
50 + -0.5x2 = 0.0

Add '-50' to each side of the equation.
50 + -50 + -0.5x2 = 0.0 + -50

Combine like terms: 50 + -50 = 0
0 + -0.5x2 = 0.0 + -50
-0.5x2 = 0.0 + -50

Combine like terms: 0.0 + -50 = -50
-0.5x2 = -50

Divide each side by '-0.5'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}