x^2+8x+47=-8x-1

Solution for x^2+8x+47=-8x-1 equation:

Simplifying
x2 + 8x + 47 = -8x + -1

Reorder the terms:
47 + 8x + x2 = -8x + -1

Reorder the terms:
47 + 8x + x2 = -1 + -8x

Solving
47 + 8x + x2 = -1 + -8x

Solving for variable 'x'.

Reorder the terms:
47 + 1 + 8x + 8x + x2 = -1 + -8x + 1 + 8x

Combine like terms: 47 + 1 = 48
48 + 8x + 8x + x2 = -1 + -8x + 1 + 8x

Combine like terms: 8x + 8x = 16x
48 + 16x + x2 = -1 + -8x + 1 + 8x

Reorder the terms:
48 + 16x + x2 = -1 + 1 + -8x + 8x

Combine like terms: -1 + 1 = 0
48 + 16x + x2 = 0 + -8x + 8x
48 + 16x + x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
48 + 16x + x2 = 0

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

Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
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 = {-12, -4}