-5(w-1)(-w-6)=0

Solution for -5(w-1)(-w-6)=0 equation:

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

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

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

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

Combine like terms: 1w + -6w = -5w
-5(6 + -5w + -1w2) = 0
(6 * -5 + -5w * -5 + -1w2 * -5) = 0
(-30 + 25w + 5w2) = 0

Solving
-30 + 25w + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + 5w + w2) = 0

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

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve:

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

Simplifying
w = 1
Solution
w = {-6, 1}