20=11a^2-32a+17

Solution for 20=11a^2-32a+17 equation:

Simplifying
20 = 11a2 + -32a + 17

Reorder the terms:
20 = 17 + -32a + 11a2

Solving
20 = 17 + -32a + 11a2

Solving for variable 'a'.

Combine like terms: 20 + -17 = 3
3 + 32a + -11a2 = 17 + -32a + 11a2 + -17 + 32a + -11a2

Reorder the terms:
3 + 32a + -11a2 = 17 + -17 + -32a + 32a + 11a2 + -11a2

Combine like terms: 17 + -17 = 0
3 + 32a + -11a2 = 0 + -32a + 32a + 11a2 + -11a2
3 + 32a + -11a2 = -32a + 32a + 11a2 + -11a2

Combine like terms: -32a + 32a = 0
3 + 32a + -11a2 = 0 + 11a2 + -11a2
3 + 32a + -11a2 = 11a2 + -11a2

Combine like terms: 11a2 + -11a2 = 0
3 + 32a + -11a2 = 0

Factor a trinomial.
(3 + -1a)(1 + 11a) = 0

Subproblem 1
Set the factor '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Subproblem 2
Set the factor '(1 + 11a)' equal to zero and attempt to solve:

Simplifying
1 + 11a = 0

Solving
1 + 11a = 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 + 11a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 11a = 0 + -1
11a = 0 + -1

Combine like terms: 0 + -1 = -1
11a = -1

Divide each side by '11'.
a = -0.09090909091

Simplifying
a = -0.09090909091
Solution
a = {3, -0.09090909091}