20-16a=a(10-8a)

Solution for 20-16a=a(10-8a) equation:

Simplifying
20 + -16a = a(10 + -8a)
20 + -16a = (10 * a + -8a * a)
20 + -16a = (10a + -8a2)

Solving
20 + -16a = 10a + -8a2

Solving for variable 'a'.

Combine like terms: -16a + -10a = -26a
20 + -26a + 8a2 = 10a + -8a2 + -10a + 8a2

Reorder the terms:
20 + -26a + 8a2 = 10a + -10a + -8a2 + 8a2

Combine like terms: 10a + -10a = 0
20 + -26a + 8a2 = 0 + -8a2 + 8a2
20 + -26a + 8a2 = -8a2 + 8a2

Combine like terms: -8a2 + 8a2 = 0
20 + -26a + 8a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -13a + 4a2) = 0

Factor a trinomial.
2((5 + -4a)(2 + -1a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -4a)' equal to zero and attempt to solve:

Simplifying
5 + -4a = 0

Solving
5 + -4a = 0

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

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

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

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

Divide each side by '-4'.
a = 1.25

Simplifying
a = 1.25
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 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 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {1.25, 2}