0=11x^2-x

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

Simplifying
0 = 11x2 + -1x

Reorder the terms:
0 = -1x + 11x2

Solving
0 = -1x + 11x2

Solving for variable 'x'.
Remove the zero:
x + -11x2 = -1x + 11x2 + x + -11x2

Reorder the terms:
x + -11x2 = -1x + x + 11x2 + -11x2

Combine like terms: -1x + x = 0
x + -11x2 = 0 + 11x2 + -11x2
x + -11x2 = 11x2 + -11x2

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -11x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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
Solution
x = {0, 0.09090909091}