2y^3+3z^2*y=

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Solution for 2y^3+3z^2*y= equation: 


Simplifying
2y3 + 3z2 * y = 0

Multiply z2 * y
2y3 + 3yz2 = 0

Reorder the terms:
3yz2 + 2y3 = 0

Solving
3yz2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(3z2 + 2y2) = 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 '(3z2 + 2y2)' equal to zero and attempt to solve:

Simplifying
3z2 + 2y2 = 0

Reorder the terms:
2y2 + 3z2 = 0

Solving
2y2 + 3z2 = 0

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

Add '-3z2' to each side of the equation.
2y2 + 3z2 + -3z2 = 0 + -3z2

Combine like terms: 3z2 + -3z2 = 0
2y2 + 0 = 0 + -3z2
2y2 = 0 + -3z2
Remove the zero:
2y2 = -3z2

Divide each side by '2'.
y2 = -1.5z2

Simplifying
y2 = -1.5z2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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