u^2-14u-72=

Solution for u^2-14u-72= equation:

Simplifying
u2 + -14u + -72 = 0

Reorder the terms:
-72 + -14u + u2 = 0

Solving
-72 + -14u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -1u)(18 + -1u) = 0

Subproblem 1
Set the factor '(-4 + -1u)' equal to zero and attempt to solve:

Simplifying
-4 + -1u = 0

Solving
-4 + -1u = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1u = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1u = 0 + 4
-1u = 0 + 4

Combine like terms: 0 + 4 = 4
-1u = 4

Divide each side by '-1'.
u = -4

Simplifying
u = -4
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 = {-4, 18}