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 + -11x)(1 + x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {0.09090909091, -1}