5w^2-3w-36=0

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

Simplifying
5w2 + -3w + -36 = 0

Reorder the terms:
-36 + -3w + 5w2 = 0

Solving
-36 + -3w + 5w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(-12 + -5w)' equal to zero and attempt to solve:

Simplifying
-12 + -5w = 0

Solving
-12 + -5w = 0

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

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

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

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

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

Simplifying
w = -2.4
Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

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

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

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

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