20a^2=64+64a

Solution for 20a^2=64+64a equation:

Simplifying
20a2 = 64 + 64a

Solving
20a2 = 64 + 64a

Solving for variable 'a'.

Reorder the terms:
-64 + -64a + 20a2 = 64 + 64a + -64 + -64a

Reorder the terms:
-64 + -64a + 20a2 = 64 + -64 + 64a + -64a

Combine like terms: 64 + -64 = 0
-64 + -64a + 20a2 = 0 + 64a + -64a
-64 + -64a + 20a2 = 64a + -64a

Combine like terms: 64a + -64a = 0
-64 + -64a + 20a2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-16 + -16a + 5a2) = 0

Factor a trinomial.
4((-4 + -5a)(4 + -1a)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-4 + -5a)' equal to zero and attempt to solve:

Simplifying
-4 + -5a = 0

Solving
-4 + -5a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5a = 0 + 4
-5a = 0 + 4

Combine like terms: 0 + 4 = 4
-5a = 4

Divide each side by '-5'.
a = -0.8

Simplifying
a = -0.8
Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {-0.8, 4}