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Simplifying sqrt(2r + 20) = sqrt(3r + 29) Reorder the terms: qrst(20 + 2r) = sqrt(3r + 29) (20 * qrst + 2r * qrst) = sqrt(3r + 29) (20qrst + 2qr2st) = sqrt(3r + 29) Reorder the terms: 20qrst + 2qr2st = qrst(29 + 3r) 20qrst + 2qr2st = (29 * qrst + 3r * qrst) 20qrst + 2qr2st = (29qrst + 3qr2st) Solving 20qrst + 2qr2st = 29qrst + 3qr2st Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-29qrst' to each side of the equation. 20qrst + -29qrst + 2qr2st = 29qrst + -29qrst + 3qr2st Combine like terms: 20qrst + -29qrst = -9qrst -9qrst + 2qr2st = 29qrst + -29qrst + 3qr2st Combine like terms: 29qrst + -29qrst = 0 -9qrst + 2qr2st = 0 + 3qr2st -9qrst + 2qr2st = 3qr2st Add '-3qr2st' to each side of the equation. -9qrst + 2qr2st + -3qr2st = 3qr2st + -3qr2st Combine like terms: 2qr2st + -3qr2st = -1qr2st -9qrst + -1qr2st = 3qr2st + -3qr2st Combine like terms: 3qr2st + -3qr2st = 0 -9qrst + -1qr2st = 0 Factor out the Greatest Common Factor (GCF), '-1qrst'. -1qrst(9 + r) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 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 '(9 + r)' equal to zero and attempt to solve: Simplifying 9 + r = 0 Solving 9 + r = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + r = 0 + -9 r = 0 + -9 Combine like terms: 0 + -9 = -9 r = -9 Add '-1r' to each side of the equation. r + -1r = -9 + -1r Combine like terms: r + -1r = 0 0 = -9 + -1r Simplifying 0 = -9 + -1r 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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