11x^2-32x+17=20

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

Simplifying
11x2 + -32x + 17 = 20

Reorder the terms:
17 + -32x + 11x2 = 20

Solving
17 + -32x + 11x2 = 20

Solving for variable 'x'.

Reorder the terms:
17 + -20 + -32x + 11x2 = 20 + -20

Combine like terms: 17 + -20 = -3
-3 + -32x + 11x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-3 + -32x + 11x2 = 0

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

Subproblem 1
Set the factor '(-1 + -11x)' equal to zero and attempt to solve:

Simplifying
-1 + -11x = 0

Solving
-1 + -11x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -11x = 0 + 1

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

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

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

Simplifying
x = -0.09090909091
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

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

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