-4u^2-17u-15=

Solution for -4u^2-17u-15= equation:

Simplifying
-4u2 + -17u + -15 = 0

Reorder the terms:
-15 + -17u + -4u2 = 0

Solving
-15 + -17u + -4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 17u + 4u2) = 0

Factor a trinomial.
-1((3 + u)(5 + 4u)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + u)' equal to zero and attempt to solve:

Simplifying
3 + u = 0

Solving
3 + u = 0

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

Add '-3' to each side of the equation.
3 + -3 + u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + u = 0 + -3
u = 0 + -3

Combine like terms: 0 + -3 = -3
u = -3

Simplifying
u = -3
Subproblem 2
Set the factor '(5 + 4u)' equal to zero and attempt to solve:

Simplifying
5 + 4u = 0

Solving
5 + 4u = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4u = 0 + -5
4u = 0 + -5

Combine like terms: 0 + -5 = -5
4u = -5

Divide each side by '4'.
u = -1.25

Simplifying
u = -1.25
Solution
u = {-3, -1.25}