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