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Simplifying sqrt(7x + -14) = sqrt(3x + 14) Reorder the terms: qrst(-14 + 7x) = sqrt(3x + 14) (-14 * qrst + 7x * qrst) = sqrt(3x + 14) (-14qrst + 7qrstx) = sqrt(3x + 14) Reorder the terms: -14qrst + 7qrstx = qrst(14 + 3x) -14qrst + 7qrstx = (14 * qrst + 3x * qrst) -14qrst + 7qrstx = (14qrst + 3qrstx) Solving -14qrst + 7qrstx = 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. -14qrst + -14qrst + 7qrstx = 14qrst + -14qrst + 3qrstx Combine like terms: -14qrst + -14qrst = -28qrst -28qrst + 7qrstx = 14qrst + -14qrst + 3qrstx Combine like terms: 14qrst + -14qrst = 0 -28qrst + 7qrstx = 0 + 3qrstx -28qrst + 7qrstx = 3qrstx Add '-3qrstx' to each side of the equation. -28qrst + 7qrstx + -3qrstx = 3qrstx + -3qrstx Combine like terms: 7qrstx + -3qrstx = 4qrstx -28qrst + 4qrstx = 3qrstx + -3qrstx Combine like terms: 3qrstx + -3qrstx = 0 -28qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '4qrst'. 4qrst(-7 + x) = 0 Ignore the factor 4.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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Add '-1x' to each side of the equation. x + -1x = 7 + -1x Combine like terms: x + -1x = 0 0 = 7 + -1x Simplifying 0 = 7 + -1x 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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