6w(w-8)=-15w^3

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Solution for 6w(w-8)=-15w^3 equation: 


Simplifying
6w(w + -8) = -15w3

Reorder the terms:
6w(-8 + w) = -15w3
(-8 * 6w + w * 6w) = -15w3
(-48w + 6w2) = -15w3

Solving
-48w + 6w2 = -15w3

Solving for variable 'w'.

Combine like terms: -15w3 + 15w3 = 0
-48w + 6w2 + 15w3 = 0

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-16 + 2w + 5w2) = 0

Factor a trinomial.
3w((-2 + -1w)(8 + -5w)) = 0

Ignore the factor 3.

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 '(8 + -5w)' equal to zero and attempt to solve:

Simplifying
8 + -5w = 0

Solving
8 + -5w = 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 + -5w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5w = 0 + -8
-5w = 0 + -8

Combine like terms: 0 + -8 = -8
-5w = -8

Divide each side by '-5'.
w = 1.6

Simplifying
w = 1.6
Solution
w = {0, -2, 1.6}

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