5x^2+23x+4=-8x-2

Solution for 5x^2+23x+4=-8x-2 equation:

Simplifying
5x2 + 23x + 4 = -8x + -2

Reorder the terms:
4 + 23x + 5x2 = -8x + -2

Reorder the terms:
4 + 23x + 5x2 = -2 + -8x

Solving
4 + 23x + 5x2 = -2 + -8x

Solving for variable 'x'.

Reorder the terms:
4 + 2 + 23x + 8x + 5x2 = -2 + -8x + 2 + 8x

Combine like terms: 4 + 2 = 6
6 + 23x + 8x + 5x2 = -2 + -8x + 2 + 8x

Combine like terms: 23x + 8x = 31x
6 + 31x + 5x2 = -2 + -8x + 2 + 8x

Reorder the terms:
6 + 31x + 5x2 = -2 + 2 + -8x + 8x

Combine like terms: -2 + 2 = 0
6 + 31x + 5x2 = 0 + -8x + 8x
6 + 31x + 5x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 31x + 5x2 = 0

Factor a trinomial.
(6 + x)(1 + 5x) = 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 '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-6, -0.2}