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Simplifying sqrt(8y + 1) = sqrt(4y + 9) Reorder the terms: qrst(1 + 8y) = sqrt(4y + 9) (1 * qrst + 8y * qrst) = sqrt(4y + 9) (1qrst + 8qrsty) = sqrt(4y + 9) Reorder the terms: 1qrst + 8qrsty = qrst(9 + 4y) 1qrst + 8qrsty = (9 * qrst + 4y * qrst) 1qrst + 8qrsty = (9qrst + 4qrsty) Solving 1qrst + 8qrsty = 9qrst + 4qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9qrst' to each side of the equation. 1qrst + -9qrst + 8qrsty = 9qrst + -9qrst + 4qrsty Combine like terms: 1qrst + -9qrst = -8qrst -8qrst + 8qrsty = 9qrst + -9qrst + 4qrsty Combine like terms: 9qrst + -9qrst = 0 -8qrst + 8qrsty = 0 + 4qrsty -8qrst + 8qrsty = 4qrsty Add '-4qrsty' to each side of the equation. -8qrst + 8qrsty + -4qrsty = 4qrsty + -4qrsty Combine like terms: 8qrsty + -4qrsty = 4qrsty -8qrst + 4qrsty = 4qrsty + -4qrsty Combine like terms: 4qrsty + -4qrsty = 0 -8qrst + 4qrsty = 0 Factor out the Greatest Common Factor (GCF), '4qrst'. 4qrst(-2 + y) = 0 Ignore the factor 4.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 '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Add '-1y' to each side of the equation. y + -1y = 2 + -1y Combine like terms: y + -1y = 0 0 = 2 + -1y Simplifying 0 = 2 + -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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