a^2-32a=0

Solution for a^2-32a=0 equation:

Simplifying
a2 + -32a = 0

Reorder the terms:
-32a + a2 = 0

Solving
-32a + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-32 + 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 '(-32 + a)' equal to zero and attempt to solve:

Simplifying
-32 + a = 0

Solving
-32 + a = 0

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

Add '32' to each side of the equation.
-32 + 32 + a = 0 + 32

Combine like terms: -32 + 32 = 0
0 + a = 0 + 32
a = 0 + 32

Combine like terms: 0 + 32 = 32
a = 32

Simplifying
a = 32
Solution
a = {0, 32}