3y+yz^2=0

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


Simplifying
3y + yz2 = 0

Solving
3y + yz2 = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(3 + z2) = 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 '(3 + z2)' equal to zero and attempt to solve: Simplifying 3 + z2 = 0 Solving 3 + z2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z2 = 0 + -3 z2 = 0 + -3 Combine like terms: 0 + -3 = -3 z2 = -3 Add '-1z2' to each side of the equation. z2 + -1z2 = -3 + -1z2 Combine like terms: z2 + -1z2 = 0 0 = -3 + -1z2 Simplifying 0 = -3 + -1z2 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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