5w(w-8)(w+7)=0

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Solution for 5w(w-8)(w+7)=0 equation: 


Simplifying
5w(w + -8)(w + 7) = 0

Reorder the terms:
5w(-8 + w)(w + 7) = 0

Reorder the terms:
5w(-8 + w)(7 + w) = 0

Multiply (-8 + w) * (7 + w)
5w(-8(7 + w) + w(7 + w)) = 0
5w((7 * -8 + w * -8) + w(7 + w)) = 0
5w((-56 + -8w) + w(7 + w)) = 0
5w(-56 + -8w + (7 * w + w * w)) = 0
5w(-56 + -8w + (7w + w2)) = 0

Combine like terms: -8w + 7w = -1w
5w(-56 + -1w + w2) = 0
(-56 * 5w + -1w * 5w + w2 * 5w) = 0
(-280w + -5w2 + 5w3) = 0

Solving
-280w + -5w2 + 5w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5w'.
5w(-56 + -1w + w2) = 0

Factor a trinomial.
5w((-7 + -1w)(8 + -1w)) = 0

Ignore the factor 5.

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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