e^2-10e=11

Solution for e^2-10e=11 equation:

Simplifying
e2 + -10e = 11

Reorder the terms:
-10e + e2 = 11

Solving
-10e + e2 = 11

Solving for variable 'e'.

Reorder the terms:
-11 + -10e + e2 = 11 + -11

Combine like terms: 11 + -11 = 0
-11 + -10e + e2 = 0

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

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

Simplifying
-1 + -1e = 0

Solving
-1 + -1e = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1e = 0 + 1

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

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

Divide each side by '-1'.
e = -1

Simplifying
e = -1
Subproblem 2
Set the factor '(11 + -1e)' equal to zero and attempt to solve:

Simplifying
11 + -1e = 0

Solving
11 + -1e = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1e = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1e = 0 + -11
-1e = 0 + -11

Combine like terms: 0 + -11 = -11
-1e = -11

Divide each side by '-1'.
e = 11

Simplifying
e = 11
Solution
e = {-1, 11}