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Simplifying 3z6 + z3 + -10 = 0 Reorder the terms: -10 + z3 + 3z6 = 0 Solving -10 + z3 + 3z6 = 0 Solving for variable 'z'. Factor a trinomial. (-2 + -1z3)(5 + -3z3) = 0Subproblem 1
Set the factor '(-2 + -1z3)' equal to zero and attempt to solve: Simplifying -2 + -1z3 = 0 Solving -2 + -1z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1z3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1z3 = 0 + 2 -1z3 = 0 + 2 Combine like terms: 0 + 2 = 2 -1z3 = 2 Divide each side by '-1'. z3 = -2 Simplifying z3 = -2 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 '(5 + -3z3)' equal to zero and attempt to solve: Simplifying 5 + -3z3 = 0 Solving 5 + -3z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3z3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3z3 = 0 + -5 -3z3 = 0 + -5 Combine like terms: 0 + -5 = -5 -3z3 = -5 Divide each side by '-3'. z3 = 1.666666667 Simplifying z3 = 1.666666667 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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