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Simplifying sqrt(x + 1) + sqrt(x + 4) + sqrt(x + 9) = sqrt(36 + -1x) Reorder the terms: qrst(1 + x) + sqrt(x + 4) + sqrt(x + 9) = sqrt(36 + -1x) (1 * qrst + x * qrst) + sqrt(x + 4) + sqrt(x + 9) = sqrt(36 + -1x) (1qrst + qrstx) + sqrt(x + 4) + sqrt(x + 9) = sqrt(36 + -1x) Reorder the terms: 1qrst + qrstx + qrst(4 + x) + sqrt(x + 9) = sqrt(36 + -1x) 1qrst + qrstx + (4 * qrst + x * qrst) + sqrt(x + 9) = sqrt(36 + -1x) 1qrst + qrstx + (4qrst + qrstx) + sqrt(x + 9) = sqrt(36 + -1x) Reorder the terms: 1qrst + qrstx + 4qrst + qrstx + qrst(9 + x) = sqrt(36 + -1x) 1qrst + qrstx + 4qrst + qrstx + (9 * qrst + x * qrst) = sqrt(36 + -1x) 1qrst + qrstx + 4qrst + qrstx + (9qrst + qrstx) = sqrt(36 + -1x) Reorder the terms: 1qrst + 4qrst + 9qrst + qrstx + qrstx + qrstx = sqrt(36 + -1x) Combine like terms: 1qrst + 4qrst = 5qrst 5qrst + 9qrst + qrstx + qrstx + qrstx = sqrt(36 + -1x) Combine like terms: 5qrst + 9qrst = 14qrst 14qrst + qrstx + qrstx + qrstx = sqrt(36 + -1x) Combine like terms: qrstx + qrstx = 2qrstx 14qrst + 2qrstx + qrstx = sqrt(36 + -1x) Combine like terms: 2qrstx + qrstx = 3qrstx 14qrst + 3qrstx = sqrt(36 + -1x) 14qrst + 3qrstx = (36 * qrst + -1x * qrst) 14qrst + 3qrstx = (36qrst + -1qrstx) Solving 14qrst + 3qrstx = 36qrst + -1qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-36qrst' to each side of the equation. 14qrst + -36qrst + 3qrstx = 36qrst + -36qrst + -1qrstx Combine like terms: 14qrst + -36qrst = -22qrst -22qrst + 3qrstx = 36qrst + -36qrst + -1qrstx Combine like terms: 36qrst + -36qrst = 0 -22qrst + 3qrstx = 0 + -1qrstx -22qrst + 3qrstx = -1qrstx Add 'qrstx' to each side of the equation. -22qrst + 3qrstx + qrstx = -1qrstx + qrstx Combine like terms: 3qrstx + qrstx = 4qrstx -22qrst + 4qrstx = -1qrstx + qrstx Combine like terms: -1qrstx + qrstx = 0 -22qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-11 + 2x) = 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 '(-11 + 2x)' equal to zero and attempt to solve: Simplifying -11 + 2x = 0 Solving -11 + 2x = 0 Move all terms containing q to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Add '-2x' to each side of the equation. 2x + -2x = 11 + -2x Combine like terms: 2x + -2x = 0 0 = 11 + -2x Simplifying 0 = 11 + -2x 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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