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Simplifying z3x + z2x2 + 6z2x + -6zx2 = 0 Reorder the terms: 6xz2 + xz3 + -6x2z + x2z2 = 0 Solving 6xz2 + xz3 + -6x2z + x2z2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xz'. xz(6z + z2 + -6x + xz) = 0Subproblem 1
Set the factor 'xz' equal to zero and attempt to solve: Simplifying xz = 0 Solving xz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xz = 0 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 '(6z + z2 + -6x + xz)' equal to zero and attempt to solve: Simplifying 6z + z2 + -6x + xz = 0 Reorder the terms: -6x + xz + 6z + z2 = 0 Solving -6x + xz + 6z + z2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6z' to each side of the equation. -6x + xz + 6z + -6z + z2 = 0 + -6z Combine like terms: 6z + -6z = 0 -6x + xz + 0 + z2 = 0 + -6z -6x + xz + z2 = 0 + -6z Remove the zero: -6x + xz + z2 = -6z Add '-1z2' to each side of the equation. -6x + xz + z2 + -1z2 = -6z + -1z2 Combine like terms: z2 + -1z2 = 0 -6x + xz + 0 = -6z + -1z2 -6x + xz = -6z + -1z2 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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