u^2-13u-30=0

Solution for u^2-13u-30=0 equation:

Simplifying
u2 + -13u + -30 = 0

Reorder the terms:
-30 + -13u + u2 = 0

Solving
-30 + -13u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + -1u)(15 + -1u) = 0

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

Simplifying
-2 + -1u = 0

Solving
-2 + -1u = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1u = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1u = 0 + 2
-1u = 0 + 2

Combine like terms: 0 + 2 = 2
-1u = 2

Divide each side by '-1'.
u = -2

Simplifying
u = -2
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 = {-2, 15}