5w(w+2)(w-5)=0

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Solution for 5w(w+2)(w-5)=0 equation: 


Simplifying
5w(w + 2)(w + -5) = 0

Reorder the terms:
5w(2 + w)(w + -5) = 0

Reorder the terms:
5w(2 + w)(-5 + w) = 0

Multiply (2 + w) * (-5 + w)
5w(2(-5 + w) + w(-5 + w)) = 0
5w((-5 * 2 + w * 2) + w(-5 + w)) = 0
5w((-10 + 2w) + w(-5 + w)) = 0
5w(-10 + 2w + (-5 * w + w * w)) = 0
5w(-10 + 2w + (-5w + w2)) = 0

Combine like terms: 2w + -5w = -3w
5w(-10 + -3w + w2) = 0
(-10 * 5w + -3w * 5w + w2 * 5w) = 0
(-50w + -15w2 + 5w3) = 0

Solving
-50w + -15w2 + 5w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5w'.
5w(-10 + -3w + w2) = 0

Factor a trinomial.
5w((-2 + -1w)(5 + -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 '(-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 3
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {0, -2, 5}

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