30u^2+25u+36u+30=

Solution for 30u^2+25u+36u+30= equation:

Simplifying
30u2 + 25u + 36u + 30 = 0

Reorder the terms:
30 + 25u + 36u + 30u2 = 0

Combine like terms: 25u + 36u = 61u
30 + 61u + 30u2 = 0

Solving
30 + 61u + 30u2 = 0

Solving for variable 'u'.

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

Subproblem 1
Set the factor '(6 + 5u)' equal to zero and attempt to solve:

Simplifying
6 + 5u = 0

Solving
6 + 5u = 0

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

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

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

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

Divide each side by '5'.
u = -1.2

Simplifying
u = -1.2
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 = {-1.2, -0.8333333333}