4a^2=32a

Solution for 4a^2=32a equation:

Simplifying
4a2 = 32a

Solving
4a2 = 32a

Solving for variable 'a'.

Reorder the terms:
-32a + 4a2 = 32a + -32a

Combine like terms: 32a + -32a = 0
-32a + 4a2 = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-8 + a) = 0

Ignore the factor 4.
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 '(-8 + a)' equal to zero and attempt to solve:

Simplifying
-8 + a = 0

Solving
-8 + a = 0

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

Add '8' to each side of the equation.
-8 + 8 + a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + a = 0 + 8
a = 0 + 8

Combine like terms: 0 + 8 = 8
a = 8

Simplifying
a = 8
Solution
a = {0, 8}