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Simplifying sqrt(3y + 13) = sqrt(y + 7) Reorder the terms: qrst(13 + 3y) = sqrt(y + 7) (13 * qrst + 3y * qrst) = sqrt(y + 7) (13qrst + 3qrsty) = sqrt(y + 7) Reorder the terms: 13qrst + 3qrsty = qrst(7 + y) 13qrst + 3qrsty = (7 * qrst + y * qrst) 13qrst + 3qrsty = (7qrst + qrsty) Solving 13qrst + 3qrsty = 7qrst + qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7qrst' to each side of the equation. 13qrst + -7qrst + 3qrsty = 7qrst + -7qrst + qrsty Combine like terms: 13qrst + -7qrst = 6qrst 6qrst + 3qrsty = 7qrst + -7qrst + qrsty Combine like terms: 7qrst + -7qrst = 0 6qrst + 3qrsty = 0 + qrsty 6qrst + 3qrsty = qrsty Add '-1qrsty' to each side of the equation. 6qrst + 3qrsty + -1qrsty = qrsty + -1qrsty Combine like terms: 3qrsty + -1qrsty = 2qrsty 6qrst + 2qrsty = qrsty + -1qrsty Combine like terms: qrsty + -1qrsty = 0 6qrst + 2qrsty = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(3 + y) = 0 Ignore the factor 2.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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Add '-1y' to each side of the equation. y + -1y = -3 + -1y Combine like terms: y + -1y = 0 0 = -3 + -1y Simplifying 0 = -3 + -1y 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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