-5(w-4)(-w-1)=0

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Solution for -5(w-4)(-w-1)=0 equation: 


Simplifying
-5(w + -4)(-1w + -1) = 0

Reorder the terms:
-5(-4 + w)(-1w + -1) = 0

Reorder the terms:
-5(-4 + w)(-1 + -1w) = 0

Multiply (-4 + w) * (-1 + -1w)
-5(-4(-1 + -1w) + w(-1 + -1w)) = 0
-5((-1 * -4 + -1w * -4) + w(-1 + -1w)) = 0
-5((4 + 4w) + w(-1 + -1w)) = 0
-5(4 + 4w + (-1 * w + -1w * w)) = 0
-5(4 + 4w + (-1w + -1w2)) = 0

Combine like terms: 4w + -1w = 3w
-5(4 + 3w + -1w2) = 0
(4 * -5 + 3w * -5 + -1w2 * -5) = 0
(-20 + -15w + 5w2) = 0

Solving
-20 + -15w + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -3w + w2) = 0

Factor a trinomial.
5((-1 + -1w)(4 + -1w)) = 0

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {-1, 4}

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