0=a^2-20a+96

Solution for 0=a^2-20a+96 equation:

Simplifying
0 = a2 + -20a + 96

Reorder the terms:
0 = 96 + -20a + a2

Solving
0 = 96 + -20a + a2

Solving for variable 'a'.

Combine like terms: 0 + -96 = -96
-96 + 20a + -1a2 = 96 + -20a + a2 + -96 + 20a + -1a2

Reorder the terms:
-96 + 20a + -1a2 = 96 + -96 + -20a + 20a + a2 + -1a2

Combine like terms: 96 + -96 = 0
-96 + 20a + -1a2 = 0 + -20a + 20a + a2 + -1a2
-96 + 20a + -1a2 = -20a + 20a + a2 + -1a2

Combine like terms: -20a + 20a = 0
-96 + 20a + -1a2 = 0 + a2 + -1a2
-96 + 20a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-96 + 20a + -1a2 = 0

Factor a trinomial.
(-12 + a)(8 + -1a) = 0

Subproblem 1
Set the factor '(-12 + a)' equal to zero and attempt to solve:

Simplifying
-12 + a = 0

Solving
-12 + a = 0

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

Add '12' to each side of the equation.
-12 + 12 + a = 0 + 12

Combine like terms: -12 + 12 = 0
0 + a = 0 + 12
a = 0 + 12

Combine like terms: 0 + 12 = 12
a = 12

Simplifying
a = 12
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 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 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {12, 8}