x^2+17x+7=7x-2

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Solution for x^2+17x+7=7x-2 equation: 


Simplifying
x2 + 17x + 7 = 7x + -2

Reorder the terms:
7 + 17x + x2 = 7x + -2

Reorder the terms:
7 + 17x + x2 = -2 + 7x

Solving
7 + 17x + x2 = -2 + 7x

Solving for variable 'x'.

Reorder the terms:
7 + 2 + 17x + -7x + x2 = -2 + 7x + 2 + -7x

Combine like terms: 7 + 2 = 9
9 + 17x + -7x + x2 = -2 + 7x + 2 + -7x

Combine like terms: 17x + -7x = 10x
9 + 10x + x2 = -2 + 7x + 2 + -7x

Reorder the terms:
9 + 10x + x2 = -2 + 2 + 7x + -7x

Combine like terms: -2 + 2 = 0
9 + 10x + x2 = 0 + 7x + -7x
9 + 10x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
9 + 10x + x2 = 0

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


Subproblem 1
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

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 = {-9, -1}

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