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Simplifying sqrt(5x + -3) = sqrt(7x + 9) Reorder the terms: qrst(-3 + 5x) = sqrt(7x + 9) (-3 * qrst + 5x * qrst) = sqrt(7x + 9) (-3qrst + 5qrstx) = sqrt(7x + 9) Reorder the terms: -3qrst + 5qrstx = qrst(9 + 7x) -3qrst + 5qrstx = (9 * qrst + 7x * qrst) -3qrst + 5qrstx = (9qrst + 7qrstx) Solving -3qrst + 5qrstx = 9qrst + 7qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9qrst' to each side of the equation. -3qrst + -9qrst + 5qrstx = 9qrst + -9qrst + 7qrstx Combine like terms: -3qrst + -9qrst = -12qrst -12qrst + 5qrstx = 9qrst + -9qrst + 7qrstx Combine like terms: 9qrst + -9qrst = 0 -12qrst + 5qrstx = 0 + 7qrstx -12qrst + 5qrstx = 7qrstx Add '-7qrstx' to each side of the equation. -12qrst + 5qrstx + -7qrstx = 7qrstx + -7qrstx Combine like terms: 5qrstx + -7qrstx = -2qrstx -12qrst + -2qrstx = 7qrstx + -7qrstx Combine like terms: 7qrstx + -7qrstx = 0 -12qrst + -2qrstx = 0 Factor out the Greatest Common Factor (GCF), '-2qrst'. -2qrst(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Add '-1x' to each side of the equation. x + -1x = -6 + -1x Combine like terms: x + -1x = 0 0 = -6 + -1x Simplifying 0 = -6 + -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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