u^2-16u-36=0

Solution for u^2-16u-36=0 equation:

Simplifying
u2 + -16u + -36 = 0

Reorder the terms:
-36 + -16u + u2 = 0

Solving
-36 + -16u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + -1u)(18 + -1u) = 0

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

Simplifying
-2 + -1u = 0

Solving
-2 + -1u = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1u = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1u = 0 + 2
-1u = 0 + 2

Combine like terms: 0 + 2 = 2
-1u = 2

Divide each side by '-1'.
u = -2

Simplifying
u = -2
Subproblem 2
Set the factor '(18 + -1u)' equal to zero and attempt to solve:

Simplifying
18 + -1u = 0

Solving
18 + -1u = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1u = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1u = 0 + -18
-1u = 0 + -18

Combine like terms: 0 + -18 = -18
-1u = -18

Divide each side by '-1'.
u = 18

Simplifying
u = 18
Solution
u = {-2, 18}