y^3+16y^2=0

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Solution for y^3+16y^2=0 equation: 


Simplifying
y3 + 16y2 = 0

Reorder the terms:
16y2 + y3 = 0

Solving
16y2 + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(16 + y) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

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

Subproblem 2
Set the factor '(16 + y)' equal to zero and attempt to solve:

Simplifying
16 + y = 0

Solving
16 + y = 0

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

Add '-16' to each side of the equation.
16 + -16 + y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + y = 0 + -16
y = 0 + -16

Combine like terms: 0 + -16 = -16
y = -16

Simplifying
y = -16
Solution
y = {0, -16}

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