x^2+22x+36=10x+1

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Solution for x^2+22x+36=10x+1 equation: 


Simplifying
x2 + 22x + 36 = 10x + 1

Reorder the terms:
36 + 22x + x2 = 10x + 1

Reorder the terms:
36 + 22x + x2 = 1 + 10x

Solving
36 + 22x + x2 = 1 + 10x

Solving for variable 'x'.

Reorder the terms:
36 + -1 + 22x + -10x + x2 = 1 + 10x + -1 + -10x

Combine like terms: 36 + -1 = 35
35 + 22x + -10x + x2 = 1 + 10x + -1 + -10x

Combine like terms: 22x + -10x = 12x
35 + 12x + x2 = 1 + 10x + -1 + -10x

Reorder the terms:
35 + 12x + x2 = 1 + -1 + 10x + -10x

Combine like terms: 1 + -1 = 0
35 + 12x + x2 = 0 + 10x + -10x
35 + 12x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
35 + 12x + x2 = 0

Factor a trinomial.
(7 + x)(5 + x) = 0


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-7, -5}

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