-5(w-6)(-w+3)=0

Solution for -5(w-6)(-w+3)=0 equation:

Simplifying
-5(w + -6)(-1w + 3) = 0

Reorder the terms:
-5(-6 + w)(-1w + 3) = 0

Reorder the terms:
-5(-6 + w)(3 + -1w) = 0

Multiply (-6 + w) * (3 + -1w)
-5(-6(3 + -1w) + w(3 + -1w)) = 0
-5((3 * -6 + -1w * -6) + w(3 + -1w)) = 0
-5((-18 + 6w) + w(3 + -1w)) = 0
-5(-18 + 6w + (3 * w + -1w * w)) = 0
-5(-18 + 6w + (3w + -1w2)) = 0

Combine like terms: 6w + 3w = 9w
-5(-18 + 9w + -1w2) = 0
(-18 * -5 + 9w * -5 + -1w2 * -5) = 0
(90 + -45w + 5w2) = 0

Solving
90 + -45w + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(18 + -9w + w2) = 0

Factor a trinomial.
5((3 + -1w)(6 + -1w)) = 0

Ignore the factor 5.
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 '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {3, 6}