2x^2+28=8-13x

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Solution for 2x^2+28=8-13x equation: 


Simplifying
2x2 + 28 = 8 + -13x

Reorder the terms:
28 + 2x2 = 8 + -13x

Solving
28 + 2x2 = 8 + -13x

Solving for variable 'x'.

Reorder the terms:
28 + -8 + 13x + 2x2 = 8 + -13x + -8 + 13x

Combine like terms: 28 + -8 = 20
20 + 13x + 2x2 = 8 + -13x + -8 + 13x

Reorder the terms:
20 + 13x + 2x2 = 8 + -8 + -13x + 13x

Combine like terms: 8 + -8 = 0
20 + 13x + 2x2 = 0 + -13x + 13x
20 + 13x + 2x2 = -13x + 13x

Combine like terms: -13x + 13x = 0
20 + 13x + 2x2 = 0

Factor a trinomial.
(4 + x)(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-4, -2.5}

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