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Simplifying z6 + -28z3 + 27 = 0 Reorder the terms: 27 + -28z3 + z6 = 0 Solving 27 + -28z3 + z6 = 0 Solving for variable 'z'. Factor a trinomial. (1 + -1z3)(27 + -1z3) = 0Subproblem 1
Set the factor '(1 + -1z3)' equal to zero and attempt to solve: Simplifying 1 + -1z3 = 0 Solving 1 + -1z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1z3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1z3 = 0 + -1 -1z3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1z3 = -1 Divide each side by '-1'. z3 = 1 Simplifying z3 = 1 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 '(27 + -1z3)' equal to zero and attempt to solve: Simplifying 27 + -1z3 = 0 Solving 27 + -1z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1z3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1z3 = 0 + -27 -1z3 = 0 + -27 Combine like terms: 0 + -27 = -27 -1z3 = -27 Divide each side by '-1'. z3 = 27 Simplifying z3 = 27 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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