5u^2-26u-24=0

Solution for 5u^2-26u-24=0 equation:

Simplifying
5u2 + -26u + -24 = 0

Reorder the terms:
-24 + -26u + 5u2 = 0

Solving
-24 + -26u + 5u2 = 0

Solving for variable 'u'.

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

Subproblem 1
Set the factor '(-4 + -5u)' equal to zero and attempt to solve:

Simplifying
-4 + -5u = 0

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

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

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

Divide each side by '-5'.
u = -0.8

Simplifying
u = -0.8
Subproblem 2
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
Solution
u = {-0.8, 6}