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Simplifying Sqrt(2y + 13) = sqrt(5y + 7) Reorder the terms: qrtS(13 + 2y) = sqrt(5y + 7) (13 * qrtS + 2y * qrtS) = sqrt(5y + 7) (13qrtS + 2qrtyS) = sqrt(5y + 7) Reorder the terms: 13qrtS + 2qrtyS = qrst(7 + 5y) 13qrtS + 2qrtyS = (7 * qrst + 5y * qrst) 13qrtS + 2qrtyS = (7qrst + 5qrsty) Solving 13qrtS + 2qrtyS = 7qrst + 5qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7qrst' to each side of the equation. 13qrtS + -7qrst + 2qrtyS = 7qrst + -7qrst + 5qrsty Reorder the terms: -7qrst + 13qrtS + 2qrtyS = 7qrst + -7qrst + 5qrsty Combine like terms: 7qrst + -7qrst = 0 -7qrst + 13qrtS + 2qrtyS = 0 + 5qrsty -7qrst + 13qrtS + 2qrtyS = 5qrsty Add '-5qrsty' to each side of the equation. -7qrst + 13qrtS + -5qrsty + 2qrtyS = 5qrsty + -5qrsty Reorder the terms: -7qrst + -5qrsty + 13qrtS + 2qrtyS = 5qrsty + -5qrsty Combine like terms: 5qrsty + -5qrsty = 0 -7qrst + -5qrsty + 13qrtS + 2qrtyS = 0 Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(-7s + -5sy + 13S + 2yS) = 0Subproblem 1
Set the factor 'qrt' equal to zero and attempt to solve: Simplifying qrt = 0 Solving qrt = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrt = 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 '(-7s + -5sy + 13S + 2yS)' equal to zero and attempt to solve: Simplifying -7s + -5sy + 13S + 2yS = 0 Reorder the terms: 13S + -7s + -5sy + 2yS = 0 Solving 13S + -7s + -5sy + 2yS = 0 Move all terms containing q to the left, all other terms to the right. Add '-13S' to each side of the equation. 13S + -7s + -5sy + -13S + 2yS = 0 + -13S Reorder the terms: 13S + -13S + -7s + -5sy + 2yS = 0 + -13S Combine like terms: 13S + -13S = 0 0 + -7s + -5sy + 2yS = 0 + -13S -7s + -5sy + 2yS = 0 + -13S Remove the zero: -7s + -5sy + 2yS = -13S Add '7s' to each side of the equation. -7s + -5sy + 7s + 2yS = -13S + 7s Reorder the terms: -7s + 7s + -5sy + 2yS = -13S + 7s Combine like terms: -7s + 7s = 0 0 + -5sy + 2yS = -13S + 7s -5sy + 2yS = -13S + 7s Add '5sy' to each side of the equation. -5sy + 5sy + 2yS = -13S + 7s + 5sy Combine like terms: -5sy + 5sy = 0 0 + 2yS = -13S + 7s + 5sy 2yS = -13S + 7s + 5sy Add '-2yS' to each side of the equation. 2yS + -2yS = -13S + 7s + 5sy + -2yS Combine like terms: 2yS + -2yS = 0 0 = -13S + 7s + 5sy + -2yS Simplifying 0 = -13S + 7s + 5sy + -2yS 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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