-5(w-8)(-w+4)=0

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Solution for -5(w-8)(-w+4)=0 equation: 


Simplifying
-5(w + -8)(-1w + 4) = 0

Reorder the terms:
-5(-8 + w)(-1w + 4) = 0

Reorder the terms:
-5(-8 + w)(4 + -1w) = 0

Multiply (-8 + w) * (4 + -1w)
-5(-8(4 + -1w) + w(4 + -1w)) = 0
-5((4 * -8 + -1w * -8) + w(4 + -1w)) = 0
-5((-32 + 8w) + w(4 + -1w)) = 0
-5(-32 + 8w + (4 * w + -1w * w)) = 0
-5(-32 + 8w + (4w + -1w2)) = 0

Combine like terms: 8w + 4w = 12w
-5(-32 + 12w + -1w2) = 0
(-32 * -5 + 12w * -5 + -1w2 * -5) = 0
(160 + -60w + 5w2) = 0

Solving
160 + -60w + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(32 + -12w + w2) = 0

Factor a trinomial.
5((4 + -1w)(8 + -1w)) = 0

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = 0 + -8
-1w = 0 + -8

Combine like terms: 0 + -8 = -8
-1w = -8

Divide each side by '-1'.
w = 8

Simplifying
w = 8
Solution
w = {4, 8}

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