8w^3+10w^2=0

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Solution for 8w^3+10w^2=0 equation: 


Simplifying
8w3 + 10w2 = 0

Reorder the terms:
10w2 + 8w3 = 0

Solving
10w2 + 8w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w2'.
2w2(5 + 4w) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve:

Simplifying
w2 = 0

Solving
w2 = 0

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

Simplifying
w2 = 0

Take the square root of each side:
w = {0}

Subproblem 2
Set the factor '(5 + 4w)' equal to zero and attempt to solve:

Simplifying
5 + 4w = 0

Solving
5 + 4w = 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 + 4w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4w = 0 + -5
4w = 0 + -5

Combine like terms: 0 + -5 = -5
4w = -5

Divide each side by '4'.
w = -1.25

Simplifying
w = -1.25
Solution
w = {0, -1.25}

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