u^2+10u-11=0

Solution for u^2+10u-11=0 equation:

Simplifying
u2 + 10u + -11 = 0

Reorder the terms:
-11 + 10u + u2 = 0

Solving
-11 + 10u + u2 = 0

Solving for variable 'u'.

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

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

Simplifying
-11 + -1u = 0

Solving
-11 + -1u = 0

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

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

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

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

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

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

Simplifying
1 + -1u = 0

Solving
1 + -1u = 0

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

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

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

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

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

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