6a^2-13a^3=0

Solution for 6a^2-13a^3=0 equation:

Simplifying
6a2 + -13a3 = 0

Solving
6a2 + -13a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(6 + -13a) = 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 '(6 + -13a)' equal to zero and attempt to solve:

Simplifying
6 + -13a = 0

Solving
6 + -13a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -13a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -13a = 0 + -6
-13a = 0 + -6

Combine like terms: 0 + -6 = -6
-13a = -6

Divide each side by '-13'.
a = 0.4615384615

Simplifying
a = 0.4615384615
Solution
a = {0, 0.4615384615}