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Simplifying 6z3 + -7z3 + -3z = 0 Reorder the terms: -3z + 6z3 + -7z3 = 0 Combine like terms: 6z3 + -7z3 = -1z3 -3z + -1z3 = 0 Solving -3z + -1z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-1z'. -1z(3 + z2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 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 z 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 Simplifying z2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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