6x^3z^2-7x^2z+6xz+14z=0

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Solution for 6x^3z^2-7x^2z+6xz+14z=0 equation:


Simplifying
6x3z2 + -7x2z + 6xz + 14z = 0

Reorder the terms:
6xz + -7x2z + 6x3z2 + 14z = 0

Solving
6xz + -7x2z + 6x3z2 + 14z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(6x + -7x2 + 6x3z + 14) = 0

Subproblem 1

Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z 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 '(6x + -7x2 + 6x3z + 14)' equal to zero and attempt to solve: Simplifying 6x + -7x2 + 6x3z + 14 = 0 Reorder the terms: 14 + 6x + -7x2 + 6x3z = 0 Solving 14 + 6x + -7x2 + 6x3z = 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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