2x^2-4.5=0

Solution for 2x^2-4.5=0 equation:

Simplifying
2x2 + -4.5 = 0

Reorder the terms:
-4.5 + 2x2 = 0

Solving
-4.5 + 2x2 = 0

Solving for variable 'x'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 2x2 = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 2x2 = 0 + 4.5
2x2 = 0 + 4.5

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

Divide each side by '2'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}