9x^2-56x+55=0

Solution for 9x^2-56x+55=0 equation:

Simplifying
9x2 + -56x + 55 = 0

Reorder the terms:
55 + -56x + 9x2 = 0

Solving
55 + -56x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -9x)(5 + -1x) = 0

Subproblem 1
Set the factor '(11 + -9x)' equal to zero and attempt to solve:

Simplifying
11 + -9x = 0

Solving
11 + -9x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -9x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -9x = 0 + -11
-9x = 0 + -11

Combine like terms: 0 + -11 = -11
-9x = -11

Divide each side by '-9'.
x = 1.222222222

Simplifying
x = 1.222222222
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.222222222, 5}