-5a+6a^2=0

Solution for -5a+6a^2=0 equation:

Simplifying
-5a + 6a2 = 0

Solving
-5a + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-5 + 6a) = 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 '(-5 + 6a)' equal to zero and attempt to solve:

Simplifying
-5 + 6a = 0

Solving
-5 + 6a = 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 + 6a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6a = 0 + 5
6a = 0 + 5

Combine like terms: 0 + 5 = 5
6a = 5

Divide each side by '6'.
a = 0.8333333333

Simplifying
a = 0.8333333333
Solution
a = {0, 0.8333333333}