12u^2+9u+16u+12=0

Solution for 12u^2+9u+16u+12=0 equation:

Simplifying
12u2 + 9u + 16u + 12 = 0

Reorder the terms:
12 + 9u + 16u + 12u2 = 0

Combine like terms: 9u + 16u = 25u
12 + 25u + 12u2 = 0

Solving
12 + 25u + 12u2 = 0

Solving for variable 'u'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + 4u)' equal to zero and attempt to solve:

Simplifying
3 + 4u = 0

Solving
3 + 4u = 0

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

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

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

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

Divide each side by '4'.
u = -0.75

Simplifying
u = -0.75
Solution
u = {-1.333333333, -0.75}