4a^2=8a

Solution for 4a^2=8a equation:

Simplifying
4a2 = 8a

Solving
4a2 = 8a

Solving for variable 'a'.

Reorder the terms:
-8a + 4a2 = 8a + -8a

Combine like terms: 8a + -8a = 0
-8a + 4a2 = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-2 + 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 '(-2 + a)' equal to zero and attempt to solve:

Simplifying
-2 + a = 0

Solving
-2 + a = 0

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

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

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

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

Simplifying
a = 2
Solution
a = {0, 2}