5u^2+24u-36=0

Solution for 5u^2+24u-36=0 equation:

Simplifying
5u2 + 24u + -36 = 0

Reorder the terms:
-36 + 24u + 5u2 = 0

Solving
-36 + 24u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + -1u)(6 + -5u) = 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 '(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
Solution
u = {-6, 1.2}