x^2+15x+29=3x+2

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Solution for x^2+15x+29=3x+2 equation: 


Simplifying
x2 + 15x + 29 = 3x + 2

Reorder the terms:
29 + 15x + x2 = 3x + 2

Reorder the terms:
29 + 15x + x2 = 2 + 3x

Solving
29 + 15x + x2 = 2 + 3x

Solving for variable 'x'.

Reorder the terms:
29 + -2 + 15x + -3x + x2 = 2 + 3x + -2 + -3x

Combine like terms: 29 + -2 = 27
27 + 15x + -3x + x2 = 2 + 3x + -2 + -3x

Combine like terms: 15x + -3x = 12x
27 + 12x + x2 = 2 + 3x + -2 + -3x

Reorder the terms:
27 + 12x + x2 = 2 + -2 + 3x + -3x

Combine like terms: 2 + -2 = 0
27 + 12x + x2 = 0 + 3x + -3x
27 + 12x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
27 + 12x + x2 = 0

Factor a trinomial.
(9 + x)(3 + 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 '(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 = {-9, -3}

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