12u^2+19u+7=0

Solution for 12u^2+19u+7=0 equation:

Simplifying
12u2 + 19u + 7 = 0

Reorder the terms:
7 + 19u + 12u2 = 0

Solving
7 + 19u + 12u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + u)(7 + 12u) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + 12u)' equal to zero and attempt to solve:

Simplifying
7 + 12u = 0

Solving
7 + 12u = 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 + 12u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12u = 0 + -7
12u = 0 + -7

Combine like terms: 0 + -7 = -7
12u = -7

Divide each side by '12'.
u = -0.5833333333

Simplifying
u = -0.5833333333
Solution
u = {-1, -0.5833333333}