0=6x^2-11x+5

Solution for 0=6x^2-11x+5 equation:

Simplifying
0 = 6x2 + -11x + 5

Reorder the terms:
0 = 5 + -11x + 6x2

Solving
0 = 5 + -11x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -5 = -5
-5 + 11x + -6x2 = 5 + -11x + 6x2 + -5 + 11x + -6x2

Reorder the terms:
-5 + 11x + -6x2 = 5 + -5 + -11x + 11x + 6x2 + -6x2

Combine like terms: 5 + -5 = 0
-5 + 11x + -6x2 = 0 + -11x + 11x + 6x2 + -6x2
-5 + 11x + -6x2 = -11x + 11x + 6x2 + -6x2

Combine like terms: -11x + 11x = 0
-5 + 11x + -6x2 = 0 + 6x2 + -6x2
-5 + 11x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-5 + 11x + -6x2 = 0

Factor a trinomial.
(-1 + x)(5 + -6x) = 0

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

Simplifying
-1 + x = 0

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 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 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {1, 0.8333333333}