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Simplifying sqrt(4y + 7) = sqrt(2y + 15) Reorder the terms: qrst(7 + 4y) = sqrt(2y + 15) (7 * qrst + 4y * qrst) = sqrt(2y + 15) (7qrst + 4qrsty) = sqrt(2y + 15) Reorder the terms: 7qrst + 4qrsty = qrst(15 + 2y) 7qrst + 4qrsty = (15 * qrst + 2y * qrst) 7qrst + 4qrsty = (15qrst + 2qrsty) Solving 7qrst + 4qrsty = 15qrst + 2qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15qrst' to each side of the equation. 7qrst + -15qrst + 4qrsty = 15qrst + -15qrst + 2qrsty Combine like terms: 7qrst + -15qrst = -8qrst -8qrst + 4qrsty = 15qrst + -15qrst + 2qrsty Combine like terms: 15qrst + -15qrst = 0 -8qrst + 4qrsty = 0 + 2qrsty -8qrst + 4qrsty = 2qrsty Add '-2qrsty' to each side of the equation. -8qrst + 4qrsty + -2qrsty = 2qrsty + -2qrsty Combine like terms: 4qrsty + -2qrsty = 2qrsty -8qrst + 2qrsty = 2qrsty + -2qrsty Combine like terms: 2qrsty + -2qrsty = 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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