15x^3-x^2-16x=0

Solution for 15x^3-x^2-16x=0 equation:

Simplifying
15x3 + -1x2 + -16x = 0

Reorder the terms:
-16x + -1x2 + 15x3 = 0

Solving
-16x + -1x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + -1x + 15x2) = 0

Factor a trinomial.
x((-1 + -1x)(16 + -15x)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 3
Set the factor '(16 + -15x)' equal to zero and attempt to solve:

Simplifying
16 + -15x = 0

Solving
16 + -15x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -15x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -15x = 0 + -16
-15x = 0 + -16

Combine like terms: 0 + -16 = -16
-15x = -16

Divide each side by '-15'.
x = 1.066666667

Simplifying
x = 1.066666667
Solution
x = {0, -1, 1.066666667}