4=-0.5x^2+6

Solution for 4=-0.5x^2+6 equation:

Simplifying
4 = -0.5x2 + 6

Reorder the terms:
4 = 6 + -0.5x2

Solving
4 = 6 + -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 + 0.5x2 = 6 + -0.5x2 + 0.5x2

Combine like terms: -0.5x2 + 0.5x2 = 0.0
4 + 0.5x2 = 6 + 0.0
4 + 0.5x2 = 6

Add '-4' to each side of the equation.
4 + -4 + 0.5x2 = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 0.5x2 = 6 + -4
0.5x2 = 6 + -4

Combine like terms: 6 + -4 = 2
0.5x2 = 2

Divide each side by '0.5'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}