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

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


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

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

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

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

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

Solving
-56w + -1w2 + w3 = 0

Solving for variable 'w'.

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

Factor a trinomial.
w((-7 + -1w)(8 + -1w)) = 0


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 + -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, -7, 8}

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