12u^2+18u+10u+15=

Solution for 12u^2+18u+10u+15= equation:

Simplifying
12u2 + 18u + 10u + 15 = 0

Reorder the terms:
15 + 18u + 10u + 12u2 = 0

Combine like terms: 18u + 10u = 28u
15 + 28u + 12u2 = 0

Solving
15 + 28u + 12u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(3 + 2u)(5 + 6u) = 0

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

Simplifying
3 + 2u = 0

Solving
3 + 2u = 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 + 2u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2u = 0 + -3
2u = 0 + -3

Combine like terms: 0 + -3 = -3
2u = -3

Divide each side by '2'.
u = -1.5

Simplifying
u = -1.5
Subproblem 2
Set the factor '(5 + 6u)' equal to zero and attempt to solve:

Simplifying
5 + 6u = 0

Solving
5 + 6u = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6u = 0 + -5
6u = 0 + -5

Combine like terms: 0 + -5 = -5
6u = -5

Divide each side by '6'.
u = -0.8333333333

Simplifying
u = -0.8333333333
Solution
u = {-1.5, -0.8333333333}