x(8x+23)+15=0

Solution for x(8x+23)+15=0 equation:

Simplifying
x(8x + 23) + 15 = 0

Reorder the terms:
x(23 + 8x) + 15 = 0
(23 * x + 8x * x) + 15 = 0
(23x + 8x2) + 15 = 0

Reorder the terms:
15 + 23x + 8x2 = 0

Solving
15 + 23x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + 8x)(1 + x) = 0

Subproblem 1
Set the factor '(15 + 8x)' equal to zero and attempt to solve:

Simplifying
15 + 8x = 0

Solving
15 + 8x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 8x = 0 + -15

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

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

Divide each side by '8'.
x = -1.875

Simplifying
x = -1.875
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 = {-1.875, -1}