152=-16x^2+96x+8

Solution for 152=-16x^2+96x+8 equation:

Simplifying
152 = -16x2 + 96x + 8

Reorder the terms:
152 = 8 + 96x + -16x2

Solving
152 = 8 + 96x + -16x2

Solving for variable 'x'.

Combine like terms: 152 + -8 = 144
144 + -96x + 16x2 = 8 + 96x + -16x2 + -8 + -96x + 16x2

Reorder the terms:
144 + -96x + 16x2 = 8 + -8 + 96x + -96x + -16x2 + 16x2

Combine like terms: 8 + -8 = 0
144 + -96x + 16x2 = 0 + 96x + -96x + -16x2 + 16x2
144 + -96x + 16x2 = 96x + -96x + -16x2 + 16x2

Combine like terms: 96x + -96x = 0
144 + -96x + 16x2 = 0 + -16x2 + 16x2
144 + -96x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
144 + -96x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(9 + -6x + x2) = 0

Factor a trinomial.
16((3 + -1x)(3 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}