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Simplifying sqrt(5x + -3) = sqrt(9x + -15) Reorder the terms: qrst(-3 + 5x) = sqrt(9x + -15) (-3 * qrst + 5x * qrst) = sqrt(9x + -15) (-3qrst + 5qrstx) = sqrt(9x + -15) Reorder the terms: -3qrst + 5qrstx = qrst(-15 + 9x) -3qrst + 5qrstx = (-15 * qrst + 9x * qrst) -3qrst + 5qrstx = (-15qrst + 9qrstx) Solving -3qrst + 5qrstx = -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. -3qrst + 15qrst + 5qrstx = -15qrst + 15qrst + 9qrstx Combine like terms: -3qrst + 15qrst = 12qrst 12qrst + 5qrstx = -15qrst + 15qrst + 9qrstx Combine like terms: -15qrst + 15qrst = 0 12qrst + 5qrstx = 0 + 9qrstx 12qrst + 5qrstx = 9qrstx Add '-9qrstx' to each side of the equation. 12qrst + 5qrstx + -9qrstx = 9qrstx + -9qrstx Combine like terms: 5qrstx + -9qrstx = -4qrstx 12qrst + -4qrstx = 9qrstx + -9qrstx Combine like terms: 9qrstx + -9qrstx = 0 12qrst + -4qrstx = 0 Factor out the Greatest Common Factor (GCF), '4qrst'. 4qrst(3 + -1x) = 0 Ignore the factor 4.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 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + 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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