0=4u^2-19u-30

Solution for 0=4u^2-19u-30 equation:

Simplifying
0 = 4u2 + -19u + -30

Reorder the terms:
0 = -30 + -19u + 4u2

Solving
0 = -30 + -19u + 4u2

Solving for variable 'u'.

Combine like terms: 0 + 30 = 30
30 + 19u + -4u2 = -30 + -19u + 4u2 + 30 + 19u + -4u2

Reorder the terms:
30 + 19u + -4u2 = -30 + 30 + -19u + 19u + 4u2 + -4u2

Combine like terms: -30 + 30 = 0
30 + 19u + -4u2 = 0 + -19u + 19u + 4u2 + -4u2
30 + 19u + -4u2 = -19u + 19u + 4u2 + -4u2

Combine like terms: -19u + 19u = 0
30 + 19u + -4u2 = 0 + 4u2 + -4u2
30 + 19u + -4u2 = 4u2 + -4u2

Combine like terms: 4u2 + -4u2 = 0
30 + 19u + -4u2 = 0

Factor a trinomial.
(6 + -1u)(5 + 4u) = 0

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

Simplifying
6 + -1u = 0

Solving
6 + -1u = 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 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6
Subproblem 2
Set the factor '(5 + 4u)' equal to zero and attempt to solve:

Simplifying
5 + 4u = 0

Solving
5 + 4u = 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 + 4u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4u = 0 + -5
4u = 0 + -5

Combine like terms: 0 + -5 = -5
4u = -5

Divide each side by '4'.
u = -1.25

Simplifying
u = -1.25
Solution
u = {6, -1.25}