0=u^2+5u-6

Solution for 0=u^2+5u-6 equation:

Simplifying
0 = u2 + 5u + -6

Reorder the terms:
0 = -6 + 5u + u2

Solving
0 = -6 + 5u + u2

Solving for variable 'u'.

Combine like terms: 0 + 6 = 6
6 + -5u + -1u2 = -6 + 5u + u2 + 6 + -5u + -1u2

Reorder the terms:
6 + -5u + -1u2 = -6 + 6 + 5u + -5u + u2 + -1u2

Combine like terms: -6 + 6 = 0
6 + -5u + -1u2 = 0 + 5u + -5u + u2 + -1u2
6 + -5u + -1u2 = 5u + -5u + u2 + -1u2

Combine like terms: 5u + -5u = 0
6 + -5u + -1u2 = 0 + u2 + -1u2
6 + -5u + -1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
6 + -5u + -1u2 = 0

Factor a trinomial.
(1 + -1u)(6 + u) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + u)' equal to zero and attempt to solve:

Simplifying
6 + u = 0

Solving
6 + u = 0

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

Add '-6' to each side of the equation.
6 + -6 + u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + u = 0 + -6
u = 0 + -6

Combine like terms: 0 + -6 = -6
u = -6

Simplifying
u = -6
Solution
u = {1, -6}