-2w(w-7)(w+8)=0

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Solution for -2w(w-7)(w+8)=0 equation: 


Simplifying
-2w(w + -7)(w + 8) = 0

Reorder the terms:
-2w(-7 + w)(w + 8) = 0

Reorder the terms:
-2w(-7 + w)(8 + w) = 0

Multiply (-7 + w) * (8 + w)
-2w(-7(8 + w) + w(8 + w)) = 0
-2w((8 * -7 + w * -7) + w(8 + w)) = 0
-2w((-56 + -7w) + w(8 + w)) = 0
-2w(-56 + -7w + (8 * w + w * w)) = 0
-2w(-56 + -7w + (8w + w2)) = 0

Combine like terms: -7w + 8w = 1w
-2w(-56 + 1w + w2) = 0
(-56 * -2w + 1w * -2w + w2 * -2w) = 0
(112w + -2w2 + -2w3) = 0

Solving
112w + -2w2 + -2w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(56 + -1w + -1w2) = 0

Factor a trinomial.
2w((7 + -1w)(8 + 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 '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7

Subproblem 3
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 = {0, 7, -8}

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