x^2+14x+17=-7+3x

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Solution for x^2+14x+17=-7+3x equation: 


Simplifying
x2 + 14x + 17 = -7 + 3x

Reorder the terms:
17 + 14x + x2 = -7 + 3x

Solving
17 + 14x + x2 = -7 + 3x

Solving for variable 'x'.

Reorder the terms:
17 + 7 + 14x + -3x + x2 = -7 + 3x + 7 + -3x

Combine like terms: 17 + 7 = 24
24 + 14x + -3x + x2 = -7 + 3x + 7 + -3x

Combine like terms: 14x + -3x = 11x
24 + 11x + x2 = -7 + 3x + 7 + -3x

Reorder the terms:
24 + 11x + x2 = -7 + 7 + 3x + -3x

Combine like terms: -7 + 7 = 0
24 + 11x + x2 = 0 + 3x + -3x
24 + 11x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 11x + x2 = 0

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


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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 = {-8, -3}

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