(x)(2x-16)=9216

Solution for (x)(2x-16)=9216 equation:

Simplifying
(x)(2x + -16) = 9216

Reorder the terms:
x(-16 + 2x) = 9216
(-16 * x + 2x * x) = 9216
(-16x + 2x2) = 9216

Solving
-16x + 2x2 = 9216

Solving for variable 'x'.

Reorder the terms:
-9216 + -16x + 2x2 = 9216 + -9216

Combine like terms: 9216 + -9216 = 0
-9216 + -16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4608 + -8x + x2) = 0

Factor a trinomial.
2((-64 + -1x)(72 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-64 + -1x)' equal to zero and attempt to solve:

Simplifying
-64 + -1x = 0

Solving
-64 + -1x = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1x = 0 + 64
-1x = 0 + 64

Combine like terms: 0 + 64 = 64
-1x = 64

Divide each side by '-1'.
x = -64

Simplifying
x = -64
Subproblem 2
Set the factor '(72 + -1x)' equal to zero and attempt to solve:

Simplifying
72 + -1x = 0

Solving
72 + -1x = 0

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

Add '-72' to each side of the equation.
72 + -72 + -1x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = 0 + -72
-1x = 0 + -72

Combine like terms: 0 + -72 = -72
-1x = -72

Divide each side by '-1'.
x = 72

Simplifying
x = 72
Solution
x = {-64, 72}