5u^2+14u+9=0

Solution for 5u^2+14u+9=0 equation:

Simplifying
5u2 + 14u + 9 = 0

Reorder the terms:
9 + 14u + 5u2 = 0

Solving
9 + 14u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + 5u)(1 + u) = 0

Subproblem 1
Set the factor '(9 + 5u)' equal to zero and attempt to solve:

Simplifying
9 + 5u = 0

Solving
9 + 5u = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5u = 0 + -9
5u = 0 + -9

Combine like terms: 0 + -9 = -9
5u = -9

Divide each side by '5'.
u = -1.8

Simplifying
u = -1.8
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 = {-1.8, -1}