5x^2+20x+28=4x^2+5x-28

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Solution for 5x^2+20x+28=4x^2+5x-28 equation: 


Simplifying
5x2 + 20x + 28 = 4x2 + 5x + -28

Reorder the terms:
28 + 20x + 5x2 = 4x2 + 5x + -28

Reorder the terms:
28 + 20x + 5x2 = -28 + 5x + 4x2

Solving
28 + 20x + 5x2 = -28 + 5x + 4x2

Solving for variable 'x'.

Reorder the terms:
28 + 28 + 20x + -5x + 5x2 + -4x2 = -28 + 5x + 4x2 + 28 + -5x + -4x2

Combine like terms: 28 + 28 = 56
56 + 20x + -5x + 5x2 + -4x2 = -28 + 5x + 4x2 + 28 + -5x + -4x2

Combine like terms: 20x + -5x = 15x
56 + 15x + 5x2 + -4x2 = -28 + 5x + 4x2 + 28 + -5x + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
56 + 15x + 1x2 = -28 + 5x + 4x2 + 28 + -5x + -4x2

Reorder the terms:
56 + 15x + 1x2 = -28 + 28 + 5x + -5x + 4x2 + -4x2

Combine like terms: -28 + 28 = 0
56 + 15x + 1x2 = 0 + 5x + -5x + 4x2 + -4x2
56 + 15x + 1x2 = 5x + -5x + 4x2 + -4x2

Combine like terms: 5x + -5x = 0
56 + 15x + 1x2 = 0 + 4x2 + -4x2
56 + 15x + 1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
56 + 15x + 1x2 = 0

Factor a trinomial.
(8 + x)(7 + 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {-8, -7}

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