.5x^2-1.5=0

Solution for .5x^2-1.5=0 equation:

Simplifying
0.5x2 + -1.5 = 0

Reorder the terms:
-1.5 + 0.5x2 = 0

Solving
-1.5 + 0.5x2 = 0

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.5x2 = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5x2 = 0 + 1.5
0.5x2 = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
0.5x2 = 1.5

Divide each side by '0.5'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}