0=2x^2-13x+11

Solution for 0=2x^2-13x+11 equation:

Simplifying
0 = 2x2 + -13x + 11

Reorder the terms:
0 = 11 + -13x + 2x2

Solving
0 = 11 + -13x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -11 = -11
-11 + 13x + -2x2 = 11 + -13x + 2x2 + -11 + 13x + -2x2

Reorder the terms:
-11 + 13x + -2x2 = 11 + -11 + -13x + 13x + 2x2 + -2x2

Combine like terms: 11 + -11 = 0
-11 + 13x + -2x2 = 0 + -13x + 13x + 2x2 + -2x2
-11 + 13x + -2x2 = -13x + 13x + 2x2 + -2x2

Combine like terms: -13x + 13x = 0
-11 + 13x + -2x2 = 0 + 2x2 + -2x2
-11 + 13x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-11 + 13x + -2x2 = 0

Factor a trinomial.
(-11 + 2x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-11 + 2x)' equal to zero and attempt to solve:

Simplifying
-11 + 2x = 0

Solving
-11 + 2x = 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 + 2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 0 + 11
2x = 0 + 11

Combine like terms: 0 + 11 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5
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 = {5.5, 1}