x^2+13x+28=2x+4

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Solution for x^2+13x+28=2x+4 equation: 


Simplifying
x2 + 13x + 28 = 2x + 4

Reorder the terms:
28 + 13x + x2 = 2x + 4

Reorder the terms:
28 + 13x + x2 = 4 + 2x

Solving
28 + 13x + x2 = 4 + 2x

Solving for variable 'x'.

Reorder the terms:
28 + -4 + 13x + -2x + x2 = 4 + 2x + -4 + -2x

Combine like terms: 28 + -4 = 24
24 + 13x + -2x + x2 = 4 + 2x + -4 + -2x

Combine like terms: 13x + -2x = 11x
24 + 11x + x2 = 4 + 2x + -4 + -2x

Reorder the terms:
24 + 11x + x2 = 4 + -4 + 2x + -2x

Combine like terms: 4 + -4 = 0
24 + 11x + x2 = 0 + 2x + -2x
24 + 11x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 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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