4.5=0.5x^2

Solution for 4.5=0.5x^2 equation:

Simplifying
4.5 = 0.5x2

Solving
4.5 = 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.
4.5 + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
4.5 + -0.5x2 = 0.0

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -0.5x2 = 0.0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -0.5x2 = 0.0 + -4.5
-0.5x2 = 0.0 + -4.5

Combine like terms: 0.0 + -4.5 = -4.5
-0.5x2 = -4.5

Divide each side by '-0.5'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}