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Simplifying sqrt(7y + 9) = sqrt(6y + 11) Reorder the terms: qrst(9 + 7y) = sqrt(6y + 11) (9 * qrst + 7y * qrst) = sqrt(6y + 11) (9qrst + 7qrsty) = sqrt(6y + 11) Reorder the terms: 9qrst + 7qrsty = qrst(11 + 6y) 9qrst + 7qrsty = (11 * qrst + 6y * qrst) 9qrst + 7qrsty = (11qrst + 6qrsty) Solving 9qrst + 7qrsty = 11qrst + 6qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11qrst' to each side of the equation. 9qrst + -11qrst + 7qrsty = 11qrst + -11qrst + 6qrsty Combine like terms: 9qrst + -11qrst = -2qrst -2qrst + 7qrsty = 11qrst + -11qrst + 6qrsty Combine like terms: 11qrst + -11qrst = 0 -2qrst + 7qrsty = 0 + 6qrsty -2qrst + 7qrsty = 6qrsty Add '-6qrsty' to each side of the equation. -2qrst + 7qrsty + -6qrsty = 6qrsty + -6qrsty Combine like terms: 7qrsty + -6qrsty = 1qrsty -2qrst + 1qrsty = 6qrsty + -6qrsty Combine like terms: 6qrsty + -6qrsty = 0 -2qrst + 1qrsty = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(-2 + y) = 0Subproblem 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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