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Simplifying sqrt(7x + -5) = sqrt(9x + -15) Reorder the terms: qrst(-5 + 7x) = sqrt(9x + -15) (-5 * qrst + 7x * qrst) = sqrt(9x + -15) (-5qrst + 7qrstx) = sqrt(9x + -15) Reorder the terms: -5qrst + 7qrstx = qrst(-15 + 9x) -5qrst + 7qrstx = (-15 * qrst + 9x * qrst) -5qrst + 7qrstx = (-15qrst + 9qrstx) Solving -5qrst + 7qrstx = -15qrst + 9qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '15qrst' to each side of the equation. -5qrst + 15qrst + 7qrstx = -15qrst + 15qrst + 9qrstx Combine like terms: -5qrst + 15qrst = 10qrst 10qrst + 7qrstx = -15qrst + 15qrst + 9qrstx Combine like terms: -15qrst + 15qrst = 0 10qrst + 7qrstx = 0 + 9qrstx 10qrst + 7qrstx = 9qrstx Add '-9qrstx' to each side of the equation. 10qrst + 7qrstx + -9qrstx = 9qrstx + -9qrstx Combine like terms: 7qrstx + -9qrstx = -2qrstx 10qrst + -2qrstx = 9qrstx + -9qrstx Combine like terms: 9qrstx + -9qrstx = 0 10qrst + -2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(5 + -1x) = 0 Ignore the factor 2.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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x 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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