a^2=36a

Solution for a^2=36a equation:

Simplifying
a2 = 36a

Solving
a2 = 36a

Solving for variable 'a'.

Reorder the terms:
-36a + a2 = 36a + -36a

Combine like terms: 36a + -36a = 0
-36a + a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-36 + 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 '(-36 + a)' equal to zero and attempt to solve:

Simplifying
-36 + a = 0

Solving
-36 + a = 0

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

Add '36' to each side of the equation.
-36 + 36 + a = 0 + 36

Combine like terms: -36 + 36 = 0
0 + a = 0 + 36
a = 0 + 36

Combine like terms: 0 + 36 = 36
a = 36

Simplifying
a = 36
Solution
a = {0, 36}