y^3-8y^3+16y=0

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Solution for y^3-8y^3+16y=0 equation: 


Simplifying
y3 + -8y3 + 16y = 0

Reorder the terms:
16y + y3 + -8y3 = 0

Combine like terms: y3 + -8y3 = -7y3
16y + -7y3 = 0

Solving
16y + -7y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(16 + -7y2) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(16 + -7y2)' equal to zero and attempt to solve:

Simplifying
16 + -7y2 = 0

Solving
16 + -7y2 = 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 + -7y2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -7y2 = 0 + -16
-7y2 = 0 + -16

Combine like terms: 0 + -16 = -16
-7y2 = -16

Divide each side by '-7'.
y2 = 2.285714286

Simplifying
y2 = 2.285714286

Take the square root of each side:
y = {-1.511857892, 1.511857892}
Solution
y = {0, -1.511857892, 1.511857892}

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