u^2-16u-720=0

Solution for u^2-16u-720=0 equation:

Simplifying
u2 + -16u + -720 = 0

Reorder the terms:
-720 + -16u + u2 = 0

Solving
-720 + -16u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-20 + -1u)(36 + -1u) = 0

Subproblem 1
Set the factor '(-20 + -1u)' equal to zero and attempt to solve:

Simplifying
-20 + -1u = 0

Solving
-20 + -1u = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1u = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1u = 0 + 20
-1u = 0 + 20

Combine like terms: 0 + 20 = 20
-1u = 20

Divide each side by '-1'.
u = -20

Simplifying
u = -20
Subproblem 2
Set the factor '(36 + -1u)' equal to zero and attempt to solve:

Simplifying
36 + -1u = 0

Solving
36 + -1u = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1u = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1u = 0 + -36
-1u = 0 + -36

Combine like terms: 0 + -36 = -36
-1u = -36

Divide each side by '-1'.
u = 36

Simplifying
u = 36
Solution
u = {-20, 36}