-20u^2-60u-45=0

Solution for -20u^2-60u-45=0 equation:

Simplifying
-20u2 + -60u + -45 = 0

Reorder the terms:
-45 + -60u + -20u2 = 0

Solving
-45 + -60u + -20u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(9 + 12u + 4u2) = 0

Factor a trinomial.
-5((3 + 2u)(3 + 2u)) = 0

Ignore the factor -5.
Subproblem 1
Set the factor '(3 + 2u)' equal to zero and attempt to solve:

Simplifying
3 + 2u = 0

Solving
3 + 2u = 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 + 2u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2u = 0 + -3
2u = 0 + -3

Combine like terms: 0 + -3 = -3
2u = -3

Divide each side by '2'.
u = -1.5

Simplifying
u = -1.5
Subproblem 2
Set the factor '(3 + 2u)' equal to zero and attempt to solve:

Simplifying
3 + 2u = 0

Solving
3 + 2u = 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 + 2u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2u = 0 + -3
2u = 0 + -3

Combine like terms: 0 + -3 = -3
2u = -3

Divide each side by '2'.
u = -1.5

Simplifying
u = -1.5
Solution
u = {-1.5, -1.5}