w(w-3)(w+15)=0

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Solution for w(w-3)(w+15)=0 equation: 


Simplifying
w(w + -3)(w + 15) = 0

Reorder the terms:
w(-3 + w)(w + 15) = 0

Reorder the terms:
w(-3 + w)(15 + w) = 0

Multiply (-3 + w) * (15 + w)
w(-3(15 + w) + w(15 + w)) = 0
w((15 * -3 + w * -3) + w(15 + w)) = 0
w((-45 + -3w) + w(15 + w)) = 0
w(-45 + -3w + (15 * w + w * w)) = 0
w(-45 + -3w + (15w + w2)) = 0

Combine like terms: -3w + 15w = 12w
w(-45 + 12w + w2) = 0
(-45 * w + 12w * w + w2 * w) = 0
(-45w + 12w2 + w3) = 0

Solving
-45w + 12w2 + w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-45 + 12w + w2) = 0

Factor a trinomial.
w((-15 + -1w)(3 + -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 '(-15 + -1w)' equal to zero and attempt to solve:

Simplifying
-15 + -1w = 0

Solving
-15 + -1w = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1w = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1w = 0 + 15
-1w = 0 + 15

Combine like terms: 0 + 15 = 15
-1w = 15

Divide each side by '-1'.
w = -15

Simplifying
w = -15

Subproblem 3
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
Solution
w = {0, -15, 3}

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