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Simplifying z6 + -7z3 + -8 = 0 Reorder the terms: -8 + -7z3 + z6 = 0 Solving -8 + -7z3 + z6 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + -1z3)(8 + -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 '(8 + -1z3)' equal to zero and attempt to solve: Simplifying 8 + -1z3 = 0 Solving 8 + -1z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1z3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1z3 = 0 + -8 -1z3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1z3 = -8 Divide each side by '-1'. z3 = 8 Simplifying z3 = 8 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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