x^2+4+15=-8x+4

Solution for x^2+4+15=-8x+4 equation:

Simplifying
x2 + 4 + 15 = -8x + 4

Reorder the terms:
4 + 15 + x2 = -8x + 4

Combine like terms: 4 + 15 = 19
19 + x2 = -8x + 4

Reorder the terms:
19 + x2 = 4 + -8x

Solving
19 + x2 = 4 + -8x

Solving for variable 'x'.

Reorder the terms:
19 + -4 + 8x + x2 = 4 + -8x + -4 + 8x

Combine like terms: 19 + -4 = 15
15 + 8x + x2 = 4 + -8x + -4 + 8x

Reorder the terms:
15 + 8x + x2 = 4 + -4 + -8x + 8x

Combine like terms: 4 + -4 = 0
15 + 8x + x2 = 0 + -8x + 8x
15 + 8x + x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
15 + 8x + x2 = 0

Factor a trinomial.
(5 + x)(3 + x) = 0

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-5, -3}