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