6a^3-5a^2+3a^3=

Solution for 6a^3-5a^2+3a^3= equation:

Simplifying
6a3 + -5a2 + 3a3 = 0

Reorder the terms:
-5a2 + 6a3 + 3a3 = 0

Combine like terms: 6a3 + 3a3 = 9a3
-5a2 + 9a3 = 0

Solving
-5a2 + 9a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(-5 + 9a) = 0

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(-5 + 9a)' equal to zero and attempt to solve:

Simplifying
-5 + 9a = 0

Solving
-5 + 9a = 0

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

Add '5' to each side of the equation.
-5 + 5 + 9a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 9a = 0 + 5
9a = 0 + 5

Combine like terms: 0 + 5 = 5
9a = 5

Divide each side by '9'.
a = 0.5555555556

Simplifying
a = 0.5555555556
Solution
a = {0, 0.5555555556}