5u^2+3u-36=0

Solution for 5u^2+3u-36=0 equation:

Simplifying
5u2 + 3u + -36 = 0

Reorder the terms:
-36 + 3u + 5u2 = 0

Solving
-36 + 3u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + -1u)(12 + -5u) = 0

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

Simplifying
-3 + -1u = 0

Solving
-3 + -1u = 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 + -1u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1u = 0 + 3
-1u = 0 + 3

Combine like terms: 0 + 3 = 3
-1u = 3

Divide each side by '-1'.
u = -3

Simplifying
u = -3
Subproblem 2
Set the factor '(12 + -5u)' equal to zero and attempt to solve:

Simplifying
12 + -5u = 0

Solving
12 + -5u = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5u = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5u = 0 + -12
-5u = 0 + -12

Combine like terms: 0 + -12 = -12
-5u = -12

Divide each side by '-5'.
u = 2.4

Simplifying
u = 2.4
Solution
u = {-3, 2.4}