x^2+3x+47=-10x+7

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Solution for x^2+3x+47=-10x+7 equation: 


Simplifying
x2 + 3x + 47 = -10x + 7

Reorder the terms:
47 + 3x + x2 = -10x + 7

Reorder the terms:
47 + 3x + x2 = 7 + -10x

Solving
47 + 3x + x2 = 7 + -10x

Solving for variable 'x'.

Reorder the terms:
47 + -7 + 3x + 10x + x2 = 7 + -10x + -7 + 10x

Combine like terms: 47 + -7 = 40
40 + 3x + 10x + x2 = 7 + -10x + -7 + 10x

Combine like terms: 3x + 10x = 13x
40 + 13x + x2 = 7 + -10x + -7 + 10x

Reorder the terms:
40 + 13x + x2 = 7 + -7 + -10x + 10x

Combine like terms: 7 + -7 = 0
40 + 13x + x2 = 0 + -10x + 10x
40 + 13x + x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
40 + 13x + x2 = 0

Factor a trinomial.
(8 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-8, -5}

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