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Simplifying 24q3r + 20q4r6 = 4q3r Solving 24q3r + 20q4r6 = 4q3r Solving for variable 'q'. Reorder the terms: 24q3r + -4q3r + 20q4r6 = 4q3r + -4q3r Combine like terms: 24q3r + -4q3r = 20q3r 20q3r + 20q4r6 = 4q3r + -4q3r Combine like terms: 4q3r + -4q3r = 0 20q3r + 20q4r6 = 0 Factor out the Greatest Common Factor (GCF), '20q3r'. 20q3r(1 + qr5) = 0 Ignore the factor 20.Subproblem 1
Set the factor 'q3r' equal to zero and attempt to solve: Simplifying q3r = 0 Solving q3r = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q3r = 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 '(1 + qr5)' equal to zero and attempt to solve: Simplifying 1 + qr5 = 0 Solving 1 + qr5 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + qr5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + qr5 = 0 + -1 qr5 = 0 + -1 Combine like terms: 0 + -1 = -1 qr5 = -1 Divide each side by 'r5'. q = -1r-5 Simplifying q = -1r-5Solution
q = {-1r-5}
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