x^2+10x+17=4x+8

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Solution for x^2+10x+17=4x+8 equation: 


Simplifying
x2 + 10x + 17 = 4x + 8

Reorder the terms:
17 + 10x + x2 = 4x + 8

Reorder the terms:
17 + 10x + x2 = 8 + 4x

Solving
17 + 10x + x2 = 8 + 4x

Solving for variable 'x'.

Reorder the terms:
17 + -8 + 10x + -4x + x2 = 8 + 4x + -8 + -4x

Combine like terms: 17 + -8 = 9
9 + 10x + -4x + x2 = 8 + 4x + -8 + -4x

Combine like terms: 10x + -4x = 6x
9 + 6x + x2 = 8 + 4x + -8 + -4x

Reorder the terms:
9 + 6x + x2 = 8 + -8 + 4x + -4x

Combine like terms: 8 + -8 = 0
9 + 6x + x2 = 0 + 4x + -4x
9 + 6x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 6x + x2 = 0

Factor a trinomial.
(3 + x)(3 + x) = 0


Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-3, -3}

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