-2w(w+3)(w-8)=0

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Solution for -2w(w+3)(w-8)=0 equation: 


Simplifying
-2w(w + 3)(w + -8) = 0

Reorder the terms:
-2w(3 + w)(w + -8) = 0

Reorder the terms:
-2w(3 + w)(-8 + w) = 0

Multiply (3 + w) * (-8 + w)
-2w(3(-8 + w) + w(-8 + w)) = 0
-2w((-8 * 3 + w * 3) + w(-8 + w)) = 0
-2w((-24 + 3w) + w(-8 + w)) = 0
-2w(-24 + 3w + (-8 * w + w * w)) = 0
-2w(-24 + 3w + (-8w + w2)) = 0

Combine like terms: 3w + -8w = -5w
-2w(-24 + -5w + w2) = 0
(-24 * -2w + -5w * -2w + w2 * -2w) = 0
(48w + 10w2 + -2w3) = 0

Solving
48w + 10w2 + -2w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(24 + 5w + -1w2) = 0

Factor a trinomial.
2w((8 + -1w)(3 + w)) = 0

Ignore the factor 2.

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 '(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

Subproblem 3
Set the factor '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

Solving
3 + w = 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 + w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + w = 0 + -3
w = 0 + -3

Combine like terms: 0 + -3 = -3
w = -3

Simplifying
w = -3
Solution
w = {0, 8, -3}

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