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Simplifying sqrt(3y + 13) = sqrt(y + 5) Reorder the terms: qrst(13 + 3y) = sqrt(y + 5) (13 * qrst + 3y * qrst) = sqrt(y + 5) (13qrst + 3qrsty) = sqrt(y + 5) Reorder the terms: 13qrst + 3qrsty = qrst(5 + y) 13qrst + 3qrsty = (5 * qrst + y * qrst) 13qrst + 3qrsty = (5qrst + qrsty) Solving 13qrst + 3qrsty = 5qrst + qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5qrst' to each side of the equation. 13qrst + -5qrst + 3qrsty = 5qrst + -5qrst + qrsty Combine like terms: 13qrst + -5qrst = 8qrst 8qrst + 3qrsty = 5qrst + -5qrst + qrsty Combine like terms: 5qrst + -5qrst = 0 8qrst + 3qrsty = 0 + qrsty 8qrst + 3qrsty = qrsty Add '-1qrsty' to each side of the equation. 8qrst + 3qrsty + -1qrsty = qrsty + -1qrsty Combine like terms: 3qrsty + -1qrsty = 2qrsty 8qrst + 2qrsty = qrsty + -1qrsty Combine like terms: qrsty + -1qrsty = 0 8qrst + 2qrsty = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(4 + 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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Add '-1y' to each side of the equation. y + -1y = -4 + -1y Combine like terms: y + -1y = 0 0 = -4 + -1y Simplifying 0 = -4 + -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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