6x^2+15=-23x

Solution for 6x^2+15=-23x equation:

Simplifying
6x2 + 15 = -23x

Reorder the terms:
15 + 6x2 = -23x

Solving
15 + 6x2 = -23x

Solving for variable 'x'.

Reorder the terms:
15 + 23x + 6x2 = -23x + 23x

Combine like terms: -23x + 23x = 0
15 + 23x + 6x2 = 0

Factor a trinomial.
(3 + x)(5 + 6x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 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 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Solution
x = {-3, -0.8333333333}