x^2+18x+19=8x-5

Solution for x^2+18x+19=8x-5 equation:

Simplifying
x2 + 18x + 19 = 8x + -5

Reorder the terms:
19 + 18x + x2 = 8x + -5

Reorder the terms:
19 + 18x + x2 = -5 + 8x

Solving
19 + 18x + x2 = -5 + 8x

Solving for variable 'x'.

Reorder the terms:
19 + 5 + 18x + -8x + x2 = -5 + 8x + 5 + -8x

Combine like terms: 19 + 5 = 24
24 + 18x + -8x + x2 = -5 + 8x + 5 + -8x

Combine like terms: 18x + -8x = 10x
24 + 10x + x2 = -5 + 8x + 5 + -8x

Reorder the terms:
24 + 10x + x2 = -5 + 5 + 8x + -8x

Combine like terms: -5 + 5 = 0
24 + 10x + x2 = 0 + 8x + -8x
24 + 10x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
24 + 10x + x2 = 0

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

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
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 = {-6, -4}