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Simplifying sqrt(-3x + 5) = sqrt(-5x + 9) Reorder the terms: qrst(5 + -3x) = sqrt(-5x + 9) (5 * qrst + -3x * qrst) = sqrt(-5x + 9) (5qrst + -3qrstx) = sqrt(-5x + 9) Reorder the terms: 5qrst + -3qrstx = qrst(9 + -5x) 5qrst + -3qrstx = (9 * qrst + -5x * qrst) 5qrst + -3qrstx = (9qrst + -5qrstx) Solving 5qrst + -3qrstx = 9qrst + -5qrstx 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. 5qrst + -9qrst + -3qrstx = 9qrst + -9qrst + -5qrstx Combine like terms: 5qrst + -9qrst = -4qrst -4qrst + -3qrstx = 9qrst + -9qrst + -5qrstx Combine like terms: 9qrst + -9qrst = 0 -4qrst + -3qrstx = 0 + -5qrstx -4qrst + -3qrstx = -5qrstx Add '5qrstx' to each side of the equation. -4qrst + -3qrstx + 5qrstx = -5qrstx + 5qrstx Combine like terms: -3qrstx + 5qrstx = 2qrstx -4qrst + 2qrstx = -5qrstx + 5qrstx Combine like terms: -5qrstx + 5qrstx = 0 -4qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-2 + 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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