u^2-14u-15=0

Solution for u^2-14u-15=0 equation:

Simplifying
u2 + -14u + -15 = 0

Reorder the terms:
-15 + -14u + u2 = 0

Solving
-15 + -14u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -1u)(15 + -1u) = 0

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

Simplifying
-1 + -1u = 0

Solving
-1 + -1u = 0

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

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

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

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

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

Simplifying
u = -1
Subproblem 2
Set the factor '(15 + -1u)' equal to zero and attempt to solve:

Simplifying
15 + -1u = 0

Solving
15 + -1u = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1u = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1u = 0 + -15
-1u = 0 + -15

Combine like terms: 0 + -15 = -15
-1u = -15

Divide each side by '-1'.
u = 15

Simplifying
u = 15
Solution
u = {-1, 15}