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Simplifying Sqrt(8y + -14) = sqrt(5y + 16) Reorder the terms: qrtS(-14 + 8y) = sqrt(5y + 16) (-14 * qrtS + 8y * qrtS) = sqrt(5y + 16) (-14qrtS + 8qrtyS) = sqrt(5y + 16) Reorder the terms: -14qrtS + 8qrtyS = qrst(16 + 5y) -14qrtS + 8qrtyS = (16 * qrst + 5y * qrst) -14qrtS + 8qrtyS = (16qrst + 5qrsty) Solving -14qrtS + 8qrtyS = 16qrst + 5qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16qrst' to each side of the equation. -14qrtS + -16qrst + 8qrtyS = 16qrst + -16qrst + 5qrsty Reorder the terms: -16qrst + -14qrtS + 8qrtyS = 16qrst + -16qrst + 5qrsty Combine like terms: 16qrst + -16qrst = 0 -16qrst + -14qrtS + 8qrtyS = 0 + 5qrsty -16qrst + -14qrtS + 8qrtyS = 5qrsty Add '-5qrsty' to each side of the equation. -16qrst + -14qrtS + -5qrsty + 8qrtyS = 5qrsty + -5qrsty Reorder the terms: -16qrst + -5qrsty + -14qrtS + 8qrtyS = 5qrsty + -5qrsty Combine like terms: 5qrsty + -5qrsty = 0 -16qrst + -5qrsty + -14qrtS + 8qrtyS = 0 Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(-16s + -5sy + -14S + 8yS) = 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 '(-16s + -5sy + -14S + 8yS)' equal to zero and attempt to solve: Simplifying -16s + -5sy + -14S + 8yS = 0 Reorder the terms: -14S + -16s + -5sy + 8yS = 0 Solving -14S + -16s + -5sy + 8yS = 0 Move all terms containing q to the left, all other terms to the right. Add '14S' to each side of the equation. -14S + -16s + -5sy + 14S + 8yS = 0 + 14S Reorder the terms: -14S + 14S + -16s + -5sy + 8yS = 0 + 14S Combine like terms: -14S + 14S = 0 0 + -16s + -5sy + 8yS = 0 + 14S -16s + -5sy + 8yS = 0 + 14S Remove the zero: -16s + -5sy + 8yS = 14S Add '16s' to each side of the equation. -16s + -5sy + 16s + 8yS = 14S + 16s Reorder the terms: -16s + 16s + -5sy + 8yS = 14S + 16s Combine like terms: -16s + 16s = 0 0 + -5sy + 8yS = 14S + 16s -5sy + 8yS = 14S + 16s Add '5sy' to each side of the equation. -5sy + 5sy + 8yS = 14S + 16s + 5sy Combine like terms: -5sy + 5sy = 0 0 + 8yS = 14S + 16s + 5sy 8yS = 14S + 16s + 5sy Add '-8yS' to each side of the equation. 8yS + -8yS = 14S + 16s + 5sy + -8yS Combine like terms: 8yS + -8yS = 0 0 = 14S + 16s + 5sy + -8yS Simplifying 0 = 14S + 16s + 5sy + -8yS 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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