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Simplifying sqrt(5x + -14) = sqrt(2x + 4) Reorder the terms: qrst(-14 + 5x) = sqrt(2x + 4) (-14 * qrst + 5x * qrst) = sqrt(2x + 4) (-14qrst + 5qrstx) = sqrt(2x + 4) Reorder the terms: -14qrst + 5qrstx = qrst(4 + 2x) -14qrst + 5qrstx = (4 * qrst + 2x * qrst) -14qrst + 5qrstx = (4qrst + 2qrstx) Solving -14qrst + 5qrstx = 4qrst + 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4qrst' to each side of the equation. -14qrst + -4qrst + 5qrstx = 4qrst + -4qrst + 2qrstx Combine like terms: -14qrst + -4qrst = -18qrst -18qrst + 5qrstx = 4qrst + -4qrst + 2qrstx Combine like terms: 4qrst + -4qrst = 0 -18qrst + 5qrstx = 0 + 2qrstx -18qrst + 5qrstx = 2qrstx Add '-2qrstx' to each side of the equation. -18qrst + 5qrstx + -2qrstx = 2qrstx + -2qrstx Combine like terms: 5qrstx + -2qrstx = 3qrstx -18qrst + 3qrstx = 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 -18qrst + 3qrstx = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(-6 + x) = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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