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Simplifying 42q3r + 39q2r + -10q3r = 0 Reorder the terms: 39q2r + 42q3r + -10q3r = 0 Combine like terms: 42q3r + -10q3r = 32q3r 39q2r + 32q3r = 0 Solving 39q2r + 32q3r = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q2r'. q2r(39 + 32q) = 0Subproblem 1
Set the factor 'q2r' equal to zero and attempt to solve: Simplifying q2r = 0 Solving q2r = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q2r = 0 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 '(39 + 32q)' equal to zero and attempt to solve: Simplifying 39 + 32q = 0 Solving 39 + 32q = 0 Move all terms containing q to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 32q = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 32q = 0 + -39 32q = 0 + -39 Combine like terms: 0 + -39 = -39 32q = -39 Divide each side by '32'. q = -1.21875 Simplifying q = -1.21875Solution
q = {-1.21875}
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