0=-16x^2+16x+1152

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Solution for 0=-16x^2+16x+1152 equation: 


Simplifying
0 = -16x2 + 16x + 1152

Reorder the terms:
0 = 1152 + 16x + -16x2

Solving
0 = 1152 + 16x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -1152 = -1152
-1152 + -16x + 16x2 = 1152 + 16x + -16x2 + -1152 + -16x + 16x2

Reorder the terms:
-1152 + -16x + 16x2 = 1152 + -1152 + 16x + -16x + -16x2 + 16x2

Combine like terms: 1152 + -1152 = 0
-1152 + -16x + 16x2 = 0 + 16x + -16x + -16x2 + 16x2
-1152 + -16x + 16x2 = 16x + -16x + -16x2 + 16x2

Combine like terms: 16x + -16x = 0
-1152 + -16x + 16x2 = 0 + -16x2 + 16x2
-1152 + -16x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-1152 + -16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-72 + -1x + x2) = 0

Factor a trinomial.
16((-8 + -1x)(9 + -1x)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-8, 9}

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