u^2+6u-112=0

Solution for u^2+6u-112=0 equation:

Simplifying
u2 + 6u + -112 = 0

Reorder the terms:
-112 + 6u + u2 = 0

Solving
-112 + 6u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-14 + -1u)(8 + -1u) = 0

Subproblem 1
Set the factor '(-14 + -1u)' equal to zero and attempt to solve:

Simplifying
-14 + -1u = 0

Solving
-14 + -1u = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1u = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1u = 0 + 14
-1u = 0 + 14

Combine like terms: 0 + 14 = 14
-1u = 14

Divide each side by '-1'.
u = -14

Simplifying
u = -14
Subproblem 2
Set the factor '(8 + -1u)' equal to zero and attempt to solve:

Simplifying
8 + -1u = 0

Solving
8 + -1u = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1u = 0 + -8
-1u = 0 + -8

Combine like terms: 0 + -8 = -8
-1u = -8

Divide each side by '-1'.
u = 8

Simplifying
u = 8
Solution
u = {-14, 8}