u^2+14u-240=0

Solution for u^2+14u-240=0 equation:

Simplifying
u2 + 14u + -240 = 0

Reorder the terms:
-240 + 14u + u2 = 0

Solving
-240 + 14u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-24 + -1u)(10 + -1u) = 0

Subproblem 1
Set the factor '(-24 + -1u)' equal to zero and attempt to solve:

Simplifying
-24 + -1u = 0

Solving
-24 + -1u = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1u = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1u = 0 + 24
-1u = 0 + 24

Combine like terms: 0 + 24 = 24
-1u = 24

Divide each side by '-1'.
u = -24

Simplifying
u = -24
Subproblem 2
Set the factor '(10 + -1u)' equal to zero and attempt to solve:

Simplifying
10 + -1u = 0

Solving
10 + -1u = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1u = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1u = 0 + -10
-1u = 0 + -10

Combine like terms: 0 + -10 = -10
-1u = -10

Divide each side by '-1'.
u = 10

Simplifying
u = 10
Solution
u = {-24, 10}