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

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


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

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

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

Multiply (-8 + w) * (-5 + w)
5w(-8(-5 + w) + w(-5 + w)) = 0
5w((-5 * -8 + w * -8) + w(-5 + w)) = 0
5w((40 + -8w) + w(-5 + w)) = 0
5w(40 + -8w + (-5 * w + w * w)) = 0
5w(40 + -8w + (-5w + w2)) = 0

Combine like terms: -8w + -5w = -13w
5w(40 + -13w + w2) = 0
(40 * 5w + -13w * 5w + w2 * 5w) = 0
(200w + -65w2 + 5w3) = 0

Solving
200w + -65w2 + 5w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5w'.
5w(40 + -13w + w2) = 0

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

Ignore the factor 5.

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

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

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5

Subproblem 3
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 = {0, 5, 8}

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