w(3w+1)(w+15)=0

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Solution for w(3w+1)(w+15)=0 equation: 


Simplifying
w(3w + 1)(w + 15) = 0

Reorder the terms:
w(1 + 3w)(w + 15) = 0

Reorder the terms:
w(1 + 3w)(15 + w) = 0

Multiply (1 + 3w) * (15 + w)
w(1(15 + w) + 3w * (15 + w)) = 0
w((15 * 1 + w * 1) + 3w * (15 + w)) = 0
w((15 + 1w) + 3w * (15 + w)) = 0
w(15 + 1w + (15 * 3w + w * 3w)) = 0
w(15 + 1w + (45w + 3w2)) = 0

Combine like terms: 1w + 45w = 46w
w(15 + 46w + 3w2) = 0
(15 * w + 46w * w + 3w2 * w) = 0
(15w + 46w2 + 3w3) = 0

Solving
15w + 46w2 + 3w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(15 + 46w + 3w2) = 0

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

Simplifying
15 + w = 0

Solving
15 + w = 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 + w = 0 + -15

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

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

Simplifying
w = -15

Subproblem 3
Set the factor '(1 + 3w)' equal to zero and attempt to solve:

Simplifying
1 + 3w = 0

Solving
1 + 3w = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3w = 0 + -1
3w = 0 + -1

Combine like terms: 0 + -1 = -1
3w = -1

Divide each side by '3'.
w = -0.3333333333

Simplifying
w = -0.3333333333
Solution
w = {0, -15, -0.3333333333}

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