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Simplifying sqrt(x + 6) = sqrt(x + 1) + sqrt(2x + -5) Reorder the terms: qrst(6 + x) = sqrt(x + 1) + sqrt(2x + -5) (6 * qrst + x * qrst) = sqrt(x + 1) + sqrt(2x + -5) (6qrst + qrstx) = sqrt(x + 1) + sqrt(2x + -5) Reorder the terms: 6qrst + qrstx = qrst(1 + x) + sqrt(2x + -5) 6qrst + qrstx = (1 * qrst + x * qrst) + sqrt(2x + -5) 6qrst + qrstx = (1qrst + qrstx) + sqrt(2x + -5) Reorder the terms: 6qrst + qrstx = 1qrst + qrstx + qrst(-5 + 2x) 6qrst + qrstx = 1qrst + qrstx + (-5 * qrst + 2x * qrst) 6qrst + qrstx = 1qrst + qrstx + (-5qrst + 2qrstx) Reorder the terms: 6qrst + qrstx = 1qrst + -5qrst + qrstx + 2qrstx Combine like terms: 1qrst + -5qrst = -4qrst 6qrst + qrstx = -4qrst + qrstx + 2qrstx Combine like terms: qrstx + 2qrstx = 3qrstx 6qrst + qrstx = -4qrst + 3qrstx Solving 6qrst + qrstx = -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. 6qrst + 4qrst + qrstx = -4qrst + 4qrst + 3qrstx Combine like terms: 6qrst + 4qrst = 10qrst 10qrst + qrstx = -4qrst + 4qrst + 3qrstx Combine like terms: -4qrst + 4qrst = 0 10qrst + qrstx = 0 + 3qrstx 10qrst + qrstx = 3qrstx Add '-3qrstx' to each side of the equation. 10qrst + qrstx + -3qrstx = 3qrstx + -3qrstx Combine like terms: qrstx + -3qrstx = -2qrstx 10qrst + -2qrstx = 3qrstx + -3qrstx Combine like terms: 3qrstx + -3qrstx = 0 10qrst + -2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x 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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