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