1=11x^2-10x

Solution for 1=11x^2-10x equation:

Simplifying
1 = 11x2 + -10x

Reorder the terms:
1 = -10x + 11x2

Solving
1 = -10x + 11x2

Solving for variable 'x'.

Reorder the terms:
1 + 10x + -11x2 = -10x + 10x + 11x2 + -11x2

Combine like terms: -10x + 10x = 0
1 + 10x + -11x2 = 0 + 11x2 + -11x2
1 + 10x + -11x2 = 11x2 + -11x2

Combine like terms: 11x2 + -11x2 = 0
1 + 10x + -11x2 = 0

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

Subproblem 1
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
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 = {1, -0.09090909091}