-5u^2-20u+60=0

Solution for -5u^2-20u+60=0 equation:

Simplifying
-5u2 + -20u + 60 = 0

Reorder the terms:
60 + -20u + -5u2 = 0

Solving
60 + -20u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(12 + -4u + -1u2) = 0

Factor a trinomial.
5((2 + -1u)(6 + u)) = 0

Ignore the factor 5.
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 '(6 + u)' equal to zero and attempt to solve:

Simplifying
6 + u = 0

Solving
6 + u = 0

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

Add '-6' to each side of the equation.
6 + -6 + u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + u = 0 + -6
u = 0 + -6

Combine like terms: 0 + -6 = -6
u = -6

Simplifying
u = -6
Solution
u = {2, -6}