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

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


Simplifying
3(w + -2)(-1w + -8) = 0

Reorder the terms:
3(-2 + w)(-1w + -8) = 0

Reorder the terms:
3(-2 + w)(-8 + -1w) = 0

Multiply (-2 + w) * (-8 + -1w)
3(-2(-8 + -1w) + w(-8 + -1w)) = 0
3((-8 * -2 + -1w * -2) + w(-8 + -1w)) = 0
3((16 + 2w) + w(-8 + -1w)) = 0
3(16 + 2w + (-8 * w + -1w * w)) = 0
3(16 + 2w + (-8w + -1w2)) = 0

Combine like terms: 2w + -8w = -6w
3(16 + -6w + -1w2) = 0
(16 * 3 + -6w * 3 + -1w2 * 3) = 0
(48 + -18w + -3w2) = 0

Solving
48 + -18w + -3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + -6w + -1w2) = 0

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

Ignore the factor 3.

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

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2

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

Simplifying
8 + w = 0

Solving
8 + w = 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 + w = 0 + -8

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

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

Simplifying
w = -8
Solution
w = {2, -8}

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