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Simplifying 10z6 + 9z3 + -9 = 0 Reorder the terms: -9 + 9z3 + 10z6 = 0 Solving -9 + 9z3 + 10z6 = 0 Solving for variable 'z'. Factor a trinomial. (-3 + -2z3)(3 + -5z3) = 0Subproblem 1
Set the factor '(-3 + -2z3)' equal to zero and attempt to solve: Simplifying -3 + -2z3 = 0 Solving -3 + -2z3 = 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 + -2z3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2z3 = 0 + 3 -2z3 = 0 + 3 Combine like terms: 0 + 3 = 3 -2z3 = 3 Divide each side by '-2'. z3 = -1.5 Simplifying z3 = -1.5 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 '(3 + -5z3)' equal to zero and attempt to solve: Simplifying 3 + -5z3 = 0 Solving 3 + -5z3 = 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 + -5z3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5z3 = 0 + -3 -5z3 = 0 + -3 Combine like terms: 0 + -3 = -3 -5z3 = -3 Divide each side by '-5'. z3 = 0.6 Simplifying z3 = 0.6 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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