(11+2x)(8+2x)-1120=0

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Solution for (11+2x)(8+2x)-1120=0 equation: 


Simplifying
(11 + 2x)(8 + 2x) + -1120 = 0

Multiply (11 + 2x) * (8 + 2x)
(11(8 + 2x) + 2x * (8 + 2x)) + -1120 = 0
((8 * 11 + 2x * 11) + 2x * (8 + 2x)) + -1120 = 0
((88 + 22x) + 2x * (8 + 2x)) + -1120 = 0
(88 + 22x + (8 * 2x + 2x * 2x)) + -1120 = 0
(88 + 22x + (16x + 4x2)) + -1120 = 0

Combine like terms: 22x + 16x = 38x
(88 + 38x + 4x2) + -1120 = 0

Reorder the terms:
88 + -1120 + 38x + 4x2 = 0

Combine like terms: 88 + -1120 = -1032
-1032 + 38x + 4x2 = 0

Solving
-1032 + 38x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-516 + 19x + 2x2) = 0

Factor a trinomial.
2((-43 + -2x)(12 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-43 + -2x)' equal to zero and attempt to solve:

Simplifying
-43 + -2x = 0

Solving
-43 + -2x = 0

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

Add '43' to each side of the equation.
-43 + 43 + -2x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -2x = 0 + 43
-2x = 0 + 43

Combine like terms: 0 + 43 = 43
-2x = 43

Divide each side by '-2'.
x = -21.5

Simplifying
x = -21.5

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-21.5, 12}

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