9a^3-a^2-10a=0

Solution for 9a^3-a^2-10a=0 equation:

Simplifying
9a3 + -1a2 + -10a = 0

Reorder the terms:
-10a + -1a2 + 9a3 = 0

Solving
-10a + -1a2 + 9a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-10 + -1a + 9a2) = 0

Factor a trinomial.
a((-1 + -1a)(10 + -9a)) = 0

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

Simplifying
a = 0

Solving
a = 0

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

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

Simplifying
-1 + -1a = 0

Solving
-1 + -1a = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1a = 0 + 1

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

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

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

Simplifying
a = -1
Subproblem 3
Set the factor '(10 + -9a)' equal to zero and attempt to solve:

Simplifying
10 + -9a = 0

Solving
10 + -9a = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9a = 0 + -10
-9a = 0 + -10

Combine like terms: 0 + -10 = -10
-9a = -10

Divide each side by '-9'.
a = 1.111111111

Simplifying
a = 1.111111111
Solution
a = {0, -1, 1.111111111}