x^2+2x+8=4-3x

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Solution for x^2+2x+8=4-3x equation: 


Simplifying
x2 + 2x + 8 = 4 + -3x

Reorder the terms:
8 + 2x + x2 = 4 + -3x

Solving
8 + 2x + x2 = 4 + -3x

Solving for variable 'x'.

Reorder the terms:
8 + -4 + 2x + 3x + x2 = 4 + -3x + -4 + 3x

Combine like terms: 8 + -4 = 4
4 + 2x + 3x + x2 = 4 + -3x + -4 + 3x

Combine like terms: 2x + 3x = 5x
4 + 5x + x2 = 4 + -3x + -4 + 3x

Reorder the terms:
4 + 5x + x2 = 4 + -4 + -3x + 3x

Combine like terms: 4 + -4 = 0
4 + 5x + x2 = 0 + -3x + 3x
4 + 5x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 5x + x2 = 0

Factor a trinomial.
(4 + x)(1 + x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-4, -1}

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