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

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


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

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

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

Multiply (-3 + w) * (-8 + -1w)
2(-3(-8 + -1w) + w(-8 + -1w)) = 0
2((-8 * -3 + -1w * -3) + w(-8 + -1w)) = 0
2((24 + 3w) + w(-8 + -1w)) = 0
2(24 + 3w + (-8 * w + -1w * w)) = 0
2(24 + 3w + (-8w + -1w2)) = 0

Combine like terms: 3w + -8w = -5w
2(24 + -5w + -1w2) = 0
(24 * 2 + -5w * 2 + -1w2 * 2) = 0
(48 + -10w + -2w2) = 0

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

Solving for variable 'w'.

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

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

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 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 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3

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 = {3, -8}

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