6=-16x^2+24

Solution for 6=-16x^2+24 equation:

Simplifying
6 = -16x2 + 24

Reorder the terms:
6 = 24 + -16x2

Solving
6 = 24 + -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.
6 + 16x2 = 24 + -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
6 + 16x2 = 24 + 0
6 + 16x2 = 24

Add '-6' to each side of the equation.
6 + -6 + 16x2 = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 16x2 = 24 + -6
16x2 = 24 + -6

Combine like terms: 24 + -6 = 18
16x2 = 18

Divide each side by '16'.
x2 = 1.125

Simplifying
x2 = 1.125

Take the square root of each side:
x = {-1.060660172, 1.060660172}