(x+11)(x+11)+5=9

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Solution for (x+11)(x+11)+5=9 equation: 


Simplifying
(x + 11)(x + 11) + 5 = 9

Reorder the terms:
(11 + x)(x + 11) + 5 = 9

Reorder the terms:
(11 + x)(11 + x) + 5 = 9

Multiply (11 + x) * (11 + x)
(11(11 + x) + x(11 + x)) + 5 = 9
((11 * 11 + x * 11) + x(11 + x)) + 5 = 9
((121 + 11x) + x(11 + x)) + 5 = 9
(121 + 11x + (11 * x + x * x)) + 5 = 9
(121 + 11x + (11x + x2)) + 5 = 9

Combine like terms: 11x + 11x = 22x
(121 + 22x + x2) + 5 = 9

Reorder the terms:
121 + 5 + 22x + x2 = 9

Combine like terms: 121 + 5 = 126
126 + 22x + x2 = 9

Solving
126 + 22x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
126 + -9 + 22x + x2 = 9 + -9

Combine like terms: 126 + -9 = 117
117 + 22x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
117 + 22x + x2 = 0

Factor a trinomial.
(13 + x)(9 + x) = 0


Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {-13, -9}

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