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Simplifying (sqrt(7 + -2x) + -1sqrt(5 + x)) = sqrt(4 + 3x) ((7 * qrst + -2x * qrst) + -1sqrt(5 + x)) = sqrt(4 + 3x) ((7qrst + -2qrstx) + -1sqrt(5 + x)) = sqrt(4 + 3x) (7qrst + -2qrstx + (5 * -1qrst + x * -1qrst)) = sqrt(4 + 3x) (7qrst + -2qrstx + (-5qrst + -1qrstx)) = sqrt(4 + 3x) Reorder the terms: (7qrst + -5qrst + -2qrstx + -1qrstx) = sqrt(4 + 3x) Combine like terms: 7qrst + -5qrst = 2qrst (2qrst + -2qrstx + -1qrstx) = sqrt(4 + 3x) Combine like terms: -2qrstx + -1qrstx = -3qrstx (2qrst + -3qrstx) = sqrt(4 + 3x) Remove parenthesis around (2qrst + -3qrstx) 2qrst + -3qrstx = sqrt(4 + 3x) 2qrst + -3qrstx = (4 * qrst + 3x * qrst) 2qrst + -3qrstx = (4qrst + 3qrstx) Solving 2qrst + -3qrstx = 4qrst + 3qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4qrst' to each side of the equation. 2qrst + -4qrst + -3qrstx = 4qrst + -4qrst + 3qrstx Combine like terms: 2qrst + -4qrst = -2qrst -2qrst + -3qrstx = 4qrst + -4qrst + 3qrstx Combine like terms: 4qrst + -4qrst = 0 -2qrst + -3qrstx = 0 + 3qrstx -2qrst + -3qrstx = 3qrstx Add '-3qrstx' to each side of the equation. -2qrst + -3qrstx + -3qrstx = 3qrstx + -3qrstx Combine like terms: -3qrstx + -3qrstx = -6qrstx -2qrst + -6qrstx = 3qrstx + -3qrstx Combine like terms: 3qrstx + -3qrstx = 0 -2qrst + -6qrstx = 0 Factor out the Greatest Common Factor (GCF), '-2qrst'. -2qrst(1 + 3x) = 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 '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Add '-3x' to each side of the equation. 3x + -3x = -1 + -3x Combine like terms: 3x + -3x = 0 0 = -1 + -3x Simplifying 0 = -1 + -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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