2x^2-5=-4.5

Solution for 2x^2-5=-4.5 equation:

Simplifying
2x2 + -5 = -4.5

Reorder the terms:
-5 + 2x2 = -4.5

Solving
-5 + 2x2 = -4.5

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 + 2x2 = -4.5 + 5

Combine like terms: -5 + 5 = 0
0 + 2x2 = -4.5 + 5
2x2 = -4.5 + 5

Combine like terms: -4.5 + 5 = 0.5
2x2 = 0.5

Divide each side by '2'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}