x^2+13x+46=-2x+2

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Solution for x^2+13x+46=-2x+2 equation: 


Simplifying
x2 + 13x + 46 = -2x + 2

Reorder the terms:
46 + 13x + x2 = -2x + 2

Reorder the terms:
46 + 13x + x2 = 2 + -2x

Solving
46 + 13x + x2 = 2 + -2x

Solving for variable 'x'.

Reorder the terms:
46 + -2 + 13x + 2x + x2 = 2 + -2x + -2 + 2x

Combine like terms: 46 + -2 = 44
44 + 13x + 2x + x2 = 2 + -2x + -2 + 2x

Combine like terms: 13x + 2x = 15x
44 + 15x + x2 = 2 + -2x + -2 + 2x

Reorder the terms:
44 + 15x + x2 = 2 + -2 + -2x + 2x

Combine like terms: 2 + -2 = 0
44 + 15x + x2 = 0 + -2x + 2x
44 + 15x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
44 + 15x + x2 = 0

Factor a trinomial.
(11 + x)(4 + x) = 0


Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-11, -4}

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