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Simplifying 3z6 + 2z3 + -21 = 0 Reorder the terms: -21 + 2z3 + 3z6 = 0 Solving -21 + 2z3 + 3z6 = 0 Solving for variable 'z'. Factor a trinomial. (-3 + -1z3)(7 + -3z3) = 0Subproblem 1
Set the factor '(-3 + -1z3)' equal to zero and attempt to solve: Simplifying -3 + -1z3 = 0 Solving -3 + -1z3 = 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 + -1z3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1z3 = 0 + 3 -1z3 = 0 + 3 Combine like terms: 0 + 3 = 3 -1z3 = 3 Divide each side by '-1'. z3 = -3 Simplifying z3 = -3 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 '(7 + -3z3)' equal to zero and attempt to solve: Simplifying 7 + -3z3 = 0 Solving 7 + -3z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3z3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3z3 = 0 + -7 -3z3 = 0 + -7 Combine like terms: 0 + -7 = -7 -3z3 = -7 Divide each side by '-3'. z3 = 2.333333333 Simplifying z3 = 2.333333333 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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