x+11=10x^2

Solution for x+11=10x^2 equation:

Simplifying
x + 11 = 10x2

Reorder the terms:
11 + x = 10x2

Solving
11 + x = 10x2

Solving for variable 'x'.

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

Factor a trinomial.
(11 + -10x)(1 + x) = 0

Subproblem 1
Set the factor '(11 + -10x)' equal to zero and attempt to solve:

Simplifying
11 + -10x = 0

Solving
11 + -10x = 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 + -10x = 0 + -11

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

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

Divide each side by '-10'.
x = 1.1

Simplifying
x = 1.1
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 = {1.1, -1}