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Simplifying z6 + 12z3 + 36 = 0 Reorder the terms: 36 + 12z3 + z6 = 0 Solving 36 + 12z3 + z6 = 0 Solving for variable 'z'. Factor a trinomial. (6 + z3)(6 + z3) = 0Subproblem 1
Set the factor '(6 + z3)' equal to zero and attempt to solve: Simplifying 6 + z3 = 0 Solving 6 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + z3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + z3 = 0 + -6 z3 = 0 + -6 Combine like terms: 0 + -6 = -6 z3 = -6 Simplifying z3 = -6 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 '(6 + z3)' equal to zero and attempt to solve: Simplifying 6 + z3 = 0 Solving 6 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + z3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + z3 = 0 + -6 z3 = 0 + -6 Combine like terms: 0 + -6 = -6 z3 = -6 Simplifying z3 = -6 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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