x^2+13x+3=8x-1

Solution for x^2+13x+3=8x-1 equation:

Simplifying
x2 + 13x + 3 = 8x + -1

Reorder the terms:
3 + 13x + x2 = 8x + -1

Reorder the terms:
3 + 13x + x2 = -1 + 8x

Solving
3 + 13x + x2 = -1 + 8x

Solving for variable 'x'.

Reorder the terms:
3 + 1 + 13x + -8x + x2 = -1 + 8x + 1 + -8x

Combine like terms: 3 + 1 = 4
4 + 13x + -8x + x2 = -1 + 8x + 1 + -8x

Combine like terms: 13x + -8x = 5x
4 + 5x + x2 = -1 + 8x + 1 + -8x

Reorder the terms:
4 + 5x + x2 = -1 + 1 + 8x + -8x

Combine like terms: -1 + 1 = 0
4 + 5x + x2 = 0 + 8x + -8x
4 + 5x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
4 + 5x + x2 = 0

Factor a trinomial.
(4 + x)(1 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-4, -1}