30u^2+100u+80=0

Solution for 30u^2+100u+80=0 equation:

Simplifying
30u2 + 100u + 80 = 0

Reorder the terms:
80 + 100u + 30u2 = 0

Solving
80 + 100u + 30u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '10'.
10(8 + 10u + 3u2) = 0

Factor a trinomial.
10((2 + u)(4 + 3u)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(2 + u)' equal to zero and attempt to solve:

Simplifying
2 + u = 0

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

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

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

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

Simplifying
4 + 3u = 0

Solving
4 + 3u = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3u = 0 + -4
3u = 0 + -4

Combine like terms: 0 + -4 = -4
3u = -4

Divide each side by '3'.
u = -1.333333333

Simplifying
u = -1.333333333
Solution
u = {-2, -1.333333333}