(11x+22)(2x-18)=

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Solution for (11x+22)(2x-18)= equation: 


Simplifying
(11x + 22)(2x + -18) = 0

Reorder the terms:
(22 + 11x)(2x + -18) = 0

Reorder the terms:
(22 + 11x)(-18 + 2x) = 0

Multiply (22 + 11x) * (-18 + 2x)
(22(-18 + 2x) + 11x * (-18 + 2x)) = 0
((-18 * 22 + 2x * 22) + 11x * (-18 + 2x)) = 0
((-396 + 44x) + 11x * (-18 + 2x)) = 0
(-396 + 44x + (-18 * 11x + 2x * 11x)) = 0
(-396 + 44x + (-198x + 22x2)) = 0

Combine like terms: 44x + -198x = -154x
(-396 + -154x + 22x2) = 0

Solving
-396 + -154x + 22x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '22'.
22(-18 + -7x + x2) = 0

Factor a trinomial.
22((-2 + -1x)(9 + -1x)) = 0

Ignore the factor 22.

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 '(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 = {-2, 9}

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