-15x^2-115x-150=0

Solution for -15x^2-115x-150=0 equation:

Simplifying
-15x2 + -115x + -150 = 0

Reorder the terms:
-150 + -115x + -15x2 = 0

Solving
-150 + -115x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(30 + 23x + 3x2) = 0

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

Ignore the factor -5.
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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-6, -1.666666667}