2(x-32)(x+18)=-1088

Solution for 2(x-32)(x+18)=-1088 equation:

Simplifying
2(x + -32)(x + 18) = -1088

Reorder the terms:
2(-32 + x)(x + 18) = -1088

Reorder the terms:
2(-32 + x)(18 + x) = -1088

Multiply (-32 + x) * (18 + x)
2(-32(18 + x) + x(18 + x)) = -1088
2((18 * -32 + x * -32) + x(18 + x)) = -1088
2((-576 + -32x) + x(18 + x)) = -1088
2(-576 + -32x + (18 * x + x * x)) = -1088
2(-576 + -32x + (18x + x2)) = -1088

Combine like terms: -32x + 18x = -14x
2(-576 + -14x + x2) = -1088
(-576 * 2 + -14x * 2 + x2 * 2) = -1088
(-1152 + -28x + 2x2) = -1088

Solving
-1152 + -28x + 2x2 = -1088

Solving for variable 'x'.

Reorder the terms:
-1152 + 1088 + -28x + 2x2 = -1088 + 1088

Combine like terms: -1152 + 1088 = -64
-64 + -28x + 2x2 = -1088 + 1088

Combine like terms: -1088 + 1088 = 0
-64 + -28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + -14x + x2) = 0

Factor a trinomial.
2((-2 + -1x)(16 + -1x)) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-2, 16}