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Simplifying sqrt(2y + -1) = sqrt(5y + -10) Reorder the terms: qrst(-1 + 2y) = sqrt(5y + -10) (-1 * qrst + 2y * qrst) = sqrt(5y + -10) (-1qrst + 2qrsty) = sqrt(5y + -10) Reorder the terms: -1qrst + 2qrsty = qrst(-10 + 5y) -1qrst + 2qrsty = (-10 * qrst + 5y * qrst) -1qrst + 2qrsty = (-10qrst + 5qrsty) Solving -1qrst + 2qrsty = -10qrst + 5qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10qrst' to each side of the equation. -1qrst + 10qrst + 2qrsty = -10qrst + 10qrst + 5qrsty Combine like terms: -1qrst + 10qrst = 9qrst 9qrst + 2qrsty = -10qrst + 10qrst + 5qrsty Combine like terms: -10qrst + 10qrst = 0 9qrst + 2qrsty = 0 + 5qrsty 9qrst + 2qrsty = 5qrsty Add '-5qrsty' to each side of the equation. 9qrst + 2qrsty + -5qrsty = 5qrsty + -5qrsty Combine like terms: 2qrsty + -5qrsty = -3qrsty 9qrst + -3qrsty = 5qrsty + -5qrsty Combine like terms: 5qrsty + -5qrsty = 0 9qrst + -3qrsty = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(3 + -1y) = 0 Ignore the factor 3.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 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Add 'y' to each side of the equation. -1y + y = -3 + y Combine like terms: -1y + y = 0 0 = -3 + y Simplifying 0 = -3 + y 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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