a^2-9a=0

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

Simplifying
a2 + -9a = 0

Reorder the terms:
-9a + a2 = 0

Solving
-9a + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-9 + a) = 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 '(-9 + a)' equal to zero and attempt to solve:

Simplifying
-9 + a = 0

Solving
-9 + a = 0

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

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

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

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

Simplifying
a = 9
Solution
a = {0, 9}