x^2+17x+12=6x+2

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Solution for x^2+17x+12=6x+2 equation: 


Simplifying
x2 + 17x + 12 = 6x + 2

Reorder the terms:
12 + 17x + x2 = 6x + 2

Reorder the terms:
12 + 17x + x2 = 2 + 6x

Solving
12 + 17x + x2 = 2 + 6x

Solving for variable 'x'.

Reorder the terms:
12 + -2 + 17x + -6x + x2 = 2 + 6x + -2 + -6x

Combine like terms: 12 + -2 = 10
10 + 17x + -6x + x2 = 2 + 6x + -2 + -6x

Combine like terms: 17x + -6x = 11x
10 + 11x + x2 = 2 + 6x + -2 + -6x

Reorder the terms:
10 + 11x + x2 = 2 + -2 + 6x + -6x

Combine like terms: 2 + -2 = 0
10 + 11x + x2 = 0 + 6x + -6x
10 + 11x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 11x + x2 = 0

Factor a trinomial.
(10 + x)(1 + x) = 0


Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-10, -1}

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