(16+2x)(18+2x)=1088

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Solution for (16+2x)(18+2x)=1088 equation: 


Simplifying
(16 + 2x)(18 + 2x) = 1088

Multiply (16 + 2x) * (18 + 2x)
(16(18 + 2x) + 2x * (18 + 2x)) = 1088
((18 * 16 + 2x * 16) + 2x * (18 + 2x)) = 1088
((288 + 32x) + 2x * (18 + 2x)) = 1088
(288 + 32x + (18 * 2x + 2x * 2x)) = 1088
(288 + 32x + (36x + 4x2)) = 1088

Combine like terms: 32x + 36x = 68x
(288 + 68x + 4x2) = 1088

Solving
288 + 68x + 4x2 = 1088

Solving for variable 'x'.

Reorder the terms:
288 + -1088 + 68x + 4x2 = 1088 + -1088

Combine like terms: 288 + -1088 = -800
-800 + 68x + 4x2 = 1088 + -1088

Combine like terms: 1088 + -1088 = 0
-800 + 68x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-200 + 17x + x2) = 0

Factor a trinomial.
4((-25 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve:

Simplifying
-25 + -1x = 0

Solving
-25 + -1x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 0 + 25
-1x = 0 + 25

Combine like terms: 0 + 25 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25

Subproblem 2
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
Solution
x = {-25, 8}

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