-5u^2-17u-12=0

Solution for -5u^2-17u-12=0 equation:

Simplifying
-5u2 + -17u + -12 = 0

Reorder the terms:
-12 + -17u + -5u2 = 0

Solving
-12 + -17u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 17u + 5u2) = 0

Factor a trinomial.
-1((12 + 5u)(1 + u)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(12 + 5u)' equal to zero and attempt to solve:

Simplifying
12 + 5u = 0

Solving
12 + 5u = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5u = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5u = 0 + -12
5u = 0 + -12

Combine like terms: 0 + -12 = -12
5u = -12

Divide each side by '5'.
u = -2.4

Simplifying
u = -2.4
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 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 + u = 0 + -1

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

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

Simplifying
u = -1
Solution
u = {-2.4, -1}