32a^2=16a

Solution for 32a^2=16a equation:

Simplifying
32a2 = 16a

Solving
32a2 = 16a

Solving for variable 'a'.

Reorder the terms:
-16a + 32a2 = 16a + -16a

Combine like terms: 16a + -16a = 0
-16a + 32a2 = 0

Factor out the Greatest Common Factor (GCF), '16a'.
16a(-1 + 2a) = 0

Ignore the factor 16.
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 '(-1 + 2a)' equal to zero and attempt to solve:

Simplifying
-1 + 2a = 0

Solving
-1 + 2a = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2a = 0 + 1
2a = 0 + 1

Combine like terms: 0 + 1 = 1
2a = 1

Divide each side by '2'.
a = 0.5

Simplifying
a = 0.5
Solution
a = {0, 0.5}