24.5=.5x^2

Solution for 24.5=.5x^2 equation:

Simplifying
24.5 = 0.5x2

Solving
24.5 = 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.
24.5 + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
24.5 + -0.5x2 = 0.0

Add '-24.5' to each side of the equation.
24.5 + -24.5 + -0.5x2 = 0.0 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + -0.5x2 = 0.0 + -24.5
-0.5x2 = 0.0 + -24.5

Combine like terms: 0.0 + -24.5 = -24.5
-0.5x2 = -24.5

Divide each side by '-0.5'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}