x^2+15x+27=4x-1

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Solution for x^2+15x+27=4x-1 equation: 


Simplifying
x2 + 15x + 27 = 4x + -1

Reorder the terms:
27 + 15x + x2 = 4x + -1

Reorder the terms:
27 + 15x + x2 = -1 + 4x

Solving
27 + 15x + x2 = -1 + 4x

Solving for variable 'x'.

Reorder the terms:
27 + 1 + 15x + -4x + x2 = -1 + 4x + 1 + -4x

Combine like terms: 27 + 1 = 28
28 + 15x + -4x + x2 = -1 + 4x + 1 + -4x

Combine like terms: 15x + -4x = 11x
28 + 11x + x2 = -1 + 4x + 1 + -4x

Reorder the terms:
28 + 11x + x2 = -1 + 1 + 4x + -4x

Combine like terms: -1 + 1 = 0
28 + 11x + x2 = 0 + 4x + -4x
28 + 11x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
28 + 11x + x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-7, -4}

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