2u^2+9u+7=0

Solution for 2u^2+9u+7=0 equation:

Simplifying
2u2 + 9u + 7 = 0

Reorder the terms:
7 + 9u + 2u2 = 0

Solving
7 + 9u + 2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7 + 2u)(1 + u) = 0

Subproblem 1
Set the factor '(7 + 2u)' equal to zero and attempt to solve:

Simplifying
7 + 2u = 0

Solving
7 + 2u = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2u = 0 + -7
2u = 0 + -7

Combine like terms: 0 + -7 = -7
2u = -7

Divide each side by '2'.
u = -3.5

Simplifying
u = -3.5
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 = {-3.5, -1}