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