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