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