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Simplifying sqrt(2x + -4) = sqrt(7x + 9) Reorder the terms: qrst(-4 + 2x) = sqrt(7x + 9) (-4 * qrst + 2x * qrst) = sqrt(7x + 9) (-4qrst + 2qrstx) = sqrt(7x + 9) Reorder the terms: -4qrst + 2qrstx = qrst(9 + 7x) -4qrst + 2qrstx = (9 * qrst + 7x * qrst) -4qrst + 2qrstx = (9qrst + 7qrstx) Solving -4qrst + 2qrstx = 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. -4qrst + -9qrst + 2qrstx = 9qrst + -9qrst + 7qrstx Combine like terms: -4qrst + -9qrst = -13qrst -13qrst + 2qrstx = 9qrst + -9qrst + 7qrstx Combine like terms: 9qrst + -9qrst = 0 -13qrst + 2qrstx = 0 + 7qrstx -13qrst + 2qrstx = 7qrstx Add '-7qrstx' to each side of the equation. -13qrst + 2qrstx + -7qrstx = 7qrstx + -7qrstx Combine like terms: 2qrstx + -7qrstx = -5qrstx -13qrst + -5qrstx = 7qrstx + -7qrstx Combine like terms: 7qrstx + -7qrstx = 0 -13qrst + -5qrstx = 0 Factor out the Greatest Common Factor (GCF), '-1qrst'. -1qrst(13 + 5x) = 0 Ignore the factor -1.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 '(13 + 5x)' equal to zero and attempt to solve: Simplifying 13 + 5x = 0 Solving 13 + 5x = 0 Move all terms containing q to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 0 + -13 5x = 0 + -13 Combine like terms: 0 + -13 = -13 5x = -13 Add '-5x' to each side of the equation. 5x + -5x = -13 + -5x Combine like terms: 5x + -5x = 0 0 = -13 + -5x Simplifying 0 = -13 + -5x 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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