-6x^2+17x-11=0

Solution for -6x^2+17x-11=0 equation:

Simplifying
-6x2 + 17x + -11 = 0

Reorder the terms:
-11 + 17x + -6x2 = 0

Solving
-11 + 17x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + 6x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-11 + 6x)' equal to zero and attempt to solve:

Simplifying
-11 + 6x = 0

Solving
-11 + 6x = 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 + 6x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = 0 + 11
6x = 0 + 11

Combine like terms: 0 + 11 = 11
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {1.833333333, 1}