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Simplifying sqrt(7x + 1) + -1sqrt(3x + -18) = sqrt(2x + 7) Reorder the terms: qrst(1 + 7x) + -1sqrt(3x + -18) = sqrt(2x + 7) (1 * qrst + 7x * qrst) + -1sqrt(3x + -18) = sqrt(2x + 7) (1qrst + 7qrstx) + -1sqrt(3x + -18) = sqrt(2x + 7) Reorder the terms: 1qrst + 7qrstx + -1qrst(-18 + 3x) = sqrt(2x + 7) 1qrst + 7qrstx + (-18 * -1qrst + 3x * -1qrst) = sqrt(2x + 7) 1qrst + 7qrstx + (18qrst + -3qrstx) = sqrt(2x + 7) Reorder the terms: 1qrst + 18qrst + 7qrstx + -3qrstx = sqrt(2x + 7) Combine like terms: 1qrst + 18qrst = 19qrst 19qrst + 7qrstx + -3qrstx = sqrt(2x + 7) Combine like terms: 7qrstx + -3qrstx = 4qrstx 19qrst + 4qrstx = sqrt(2x + 7) Reorder the terms: 19qrst + 4qrstx = qrst(7 + 2x) 19qrst + 4qrstx = (7 * qrst + 2x * qrst) 19qrst + 4qrstx = (7qrst + 2qrstx) Solving 19qrst + 4qrstx = 7qrst + 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7qrst' to each side of the equation. 19qrst + -7qrst + 4qrstx = 7qrst + -7qrst + 2qrstx Combine like terms: 19qrst + -7qrst = 12qrst 12qrst + 4qrstx = 7qrst + -7qrst + 2qrstx Combine like terms: 7qrst + -7qrst = 0 12qrst + 4qrstx = 0 + 2qrstx 12qrst + 4qrstx = 2qrstx Add '-2qrstx' to each side of the equation. 12qrst + 4qrstx + -2qrstx = 2qrstx + -2qrstx Combine like terms: 4qrstx + -2qrstx = 2qrstx 12qrst + 2qrstx = 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 12qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Add '-1x' to each side of the equation. x + -1x = -6 + -1x Combine like terms: x + -1x = 0 0 = -6 + -1x Simplifying 0 = -6 + -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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