0=5w^2-3w-36

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

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

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

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

Solving for variable 'w'.

Combine like terms: 0 + 36 = 36
36 + 3w + -5w2 = -36 + -3w + 5w2 + 36 + 3w + -5w2

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

Combine like terms: -36 + 36 = 0
36 + 3w + -5w2 = 0 + -3w + 3w + 5w2 + -5w2
36 + 3w + -5w2 = -3w + 3w + 5w2 + -5w2

Combine like terms: -3w + 3w = 0
36 + 3w + -5w2 = 0 + 5w2 + -5w2
36 + 3w + -5w2 = 5w2 + -5w2

Combine like terms: 5w2 + -5w2 = 0
36 + 3w + -5w2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
w = {3, -2.4}