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Simplifying sqrt(x + 1) + sqrt(x + 2) + sqrt(x + 3) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Reorder the terms: qrst(1 + x) + sqrt(x + 2) + sqrt(x + 3) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) (1 * qrst + x * qrst) + sqrt(x + 2) + sqrt(x + 3) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) (1qrst + qrstx) + sqrt(x + 2) + sqrt(x + 3) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Reorder the terms: 1qrst + qrstx + qrst(2 + x) + sqrt(x + 3) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) 1qrst + qrstx + (2 * qrst + x * qrst) + sqrt(x + 3) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) 1qrst + qrstx + (2qrst + qrstx) + sqrt(x + 3) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Reorder the terms: 1qrst + qrstx + 2qrst + qrstx + qrst(3 + x) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) 1qrst + qrstx + 2qrst + qrstx + (3 * qrst + x * qrst) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) 1qrst + qrstx + 2qrst + qrstx + (3qrst + qrstx) = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Reorder the terms: 1qrst + 2qrst + 3qrst + qrstx + qrstx + qrstx = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Combine like terms: 1qrst + 2qrst = 3qrst 3qrst + 3qrst + qrstx + qrstx + qrstx = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Combine like terms: 3qrst + 3qrst = 6qrst 6qrst + qrstx + qrstx + qrstx = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Combine like terms: qrstx + qrstx = 2qrstx 6qrst + 2qrstx + qrstx = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Combine like terms: 2qrstx + qrstx = 3qrstx 6qrst + 3qrstx = sqrt(3x + -7) + sqrt(3x + -6) + sqrt(3x + -5) Reorder the terms: 6qrst + 3qrstx = qrst(-7 + 3x) + sqrt(3x + -6) + sqrt(3x + -5) 6qrst + 3qrstx = (-7 * qrst + 3x * qrst) + sqrt(3x + -6) + sqrt(3x + -5) 6qrst + 3qrstx = (-7qrst + 3qrstx) + sqrt(3x + -6) + sqrt(3x + -5) Reorder the terms: 6qrst + 3qrstx = -7qrst + 3qrstx + qrst(-6 + 3x) + sqrt(3x + -5) 6qrst + 3qrstx = -7qrst + 3qrstx + (-6 * qrst + 3x * qrst) + sqrt(3x + -5) 6qrst + 3qrstx = -7qrst + 3qrstx + (-6qrst + 3qrstx) + sqrt(3x + -5) Reorder the terms: 6qrst + 3qrstx = -7qrst + 3qrstx + -6qrst + 3qrstx + qrst(-5 + 3x) 6qrst + 3qrstx = -7qrst + 3qrstx + -6qrst + 3qrstx + (-5 * qrst + 3x * qrst) 6qrst + 3qrstx = -7qrst + 3qrstx + -6qrst + 3qrstx + (-5qrst + 3qrstx) Reorder the terms: 6qrst + 3qrstx = -7qrst + -6qrst + -5qrst + 3qrstx + 3qrstx + 3qrstx Combine like terms: -7qrst + -6qrst = -13qrst 6qrst + 3qrstx = -13qrst + -5qrst + 3qrstx + 3qrstx + 3qrstx Combine like terms: -13qrst + -5qrst = -18qrst 6qrst + 3qrstx = -18qrst + 3qrstx + 3qrstx + 3qrstx Combine like terms: 3qrstx + 3qrstx = 6qrstx 6qrst + 3qrstx = -18qrst + 6qrstx + 3qrstx Combine like terms: 6qrstx + 3qrstx = 9qrstx 6qrst + 3qrstx = -18qrst + 9qrstx Solving 6qrst + 3qrstx = -18qrst + 9qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18qrst' to each side of the equation. 6qrst + 18qrst + 3qrstx = -18qrst + 18qrst + 9qrstx Combine like terms: 6qrst + 18qrst = 24qrst 24qrst + 3qrstx = -18qrst + 18qrst + 9qrstx Combine like terms: -18qrst + 18qrst = 0 24qrst + 3qrstx = 0 + 9qrstx 24qrst + 3qrstx = 9qrstx Add '-9qrstx' to each side of the equation. 24qrst + 3qrstx + -9qrstx = 9qrstx + -9qrstx Combine like terms: 3qrstx + -9qrstx = -6qrstx 24qrst + -6qrstx = 9qrstx + -9qrstx Combine like terms: 9qrstx + -9qrstx = 0 24qrst + -6qrstx = 0 Factor out the Greatest Common Factor (GCF), '6qrst'. 6qrst(4 + -1x) = 0 Ignore the factor 6.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + 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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