4u^2+34u+30=0

Solution for 4u^2+34u+30=0 equation:

Simplifying
4u2 + 34u + 30 = 0

Reorder the terms:
30 + 34u + 4u2 = 0

Solving
30 + 34u + 4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 17u + 2u2) = 0

Factor a trinomial.
2((15 + 2u)(1 + u)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(15 + 2u)' equal to zero and attempt to solve:

Simplifying
15 + 2u = 0

Solving
15 + 2u = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2u = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2u = 0 + -15
2u = 0 + -15

Combine like terms: 0 + -15 = -15
2u = -15

Divide each side by '2'.
u = -7.5

Simplifying
u = -7.5
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 = {-7.5, -1}