24x^2y^4-18y^3z+27xy^2z^3=0

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Solution for 24x^2y^4-18y^3z+27xy^2z^3=0 equation:


Simplifying
24x2y4 + -18y3z + 27xy2z3 = 0

Reorder the terms:
27xy2z3 + 24x2y4 + -18y3z = 0

Solving
27xy2z3 + 24x2y4 + -18y3z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y2'.
3y2(9xz3 + 8x2y2 + -6yz) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(9xz3 + 8x2y2 + -6yz)' equal to zero and attempt to solve: Simplifying 9xz3 + 8x2y2 + -6yz = 0 Solving 9xz3 + 8x2y2 + -6yz = 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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