x^2+18x+27=5x+5

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Solution for x^2+18x+27=5x+5 equation: 


Simplifying
x2 + 18x + 27 = 5x + 5

Reorder the terms:
27 + 18x + x2 = 5x + 5

Reorder the terms:
27 + 18x + x2 = 5 + 5x

Solving
27 + 18x + x2 = 5 + 5x

Solving for variable 'x'.

Reorder the terms:
27 + -5 + 18x + -5x + x2 = 5 + 5x + -5 + -5x

Combine like terms: 27 + -5 = 22
22 + 18x + -5x + x2 = 5 + 5x + -5 + -5x

Combine like terms: 18x + -5x = 13x
22 + 13x + x2 = 5 + 5x + -5 + -5x

Reorder the terms:
22 + 13x + x2 = 5 + -5 + 5x + -5x

Combine like terms: 5 + -5 = 0
22 + 13x + x2 = 0 + 5x + -5x
22 + 13x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
22 + 13x + x2 = 0

Factor a trinomial.
(11 + x)(2 + x) = 0


Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-11, -2}

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