0.5=-16x^2+4.5

Solution for 0.5=-16x^2+4.5 equation:

Simplifying
0.5 = -16x2 + 4.5

Reorder the terms:
0.5 = 4.5 + -16x2

Solving
0.5 = 4.5 + -16x2

Solving for variable 'x'.

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

Add '16x2' to each side of the equation.
0.5 + 16x2 = 4.5 + -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
0.5 + 16x2 = 4.5 + 0
0.5 + 16x2 = 4.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 16x2 = 4.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 16x2 = 4.5 + -0.5
16x2 = 4.5 + -0.5

Combine like terms: 4.5 + -0.5 = 4
16x2 = 4

Divide each side by '16'.
x2 = 0.25

Simplifying
x2 = 0.25

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