27y^2z^3-36yz^4+12z^3=0

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Solution for 27y^2z^3-36yz^4+12z^3=0 equation:


Simplifying
27y2z3 + -36yz4 + 12z3 = 0

Reorder the terms:
-36yz4 + 27y2z3 + 12z3 = 0

Solving
-36yz4 + 27y2z3 + 12z3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3z3'.
3z3(-12yz + 9y2 + 4) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'z3' equal to zero and attempt to solve: Simplifying z3 = 0 Solving z3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z3' to each side of the equation. z3 + -1z3 = 0 + -1z3 Remove the zero: 0 = -1z3 Simplifying 0 = -1z3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-12yz + 9y2 + 4)' equal to zero and attempt to solve: Simplifying -12yz + 9y2 + 4 = 0 Reorder the terms: 4 + -12yz + 9y2 = 0 Solving 4 + -12yz + 9y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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