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Simplifying sqrt(16x + -60) + -4sqrt(x + -8) = 2 Reorder the terms: qrst(-60 + 16x) + -4sqrt(x + -8) = 2 (-60 * qrst + 16x * qrst) + -4sqrt(x + -8) = 2 (-60qrst + 16qrstx) + -4sqrt(x + -8) = 2 Reorder the terms: -60qrst + 16qrstx + -4qrst(-8 + x) = 2 -60qrst + 16qrstx + (-8 * -4qrst + x * -4qrst) = 2 -60qrst + 16qrstx + (32qrst + -4qrstx) = 2 Reorder the terms: -60qrst + 32qrst + 16qrstx + -4qrstx = 2 Combine like terms: -60qrst + 32qrst = -28qrst -28qrst + 16qrstx + -4qrstx = 2 Combine like terms: 16qrstx + -4qrstx = 12qrstx -28qrst + 12qrstx = 2 Solving -28qrst + 12qrstx = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -2 + -28qrst + 12qrstx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -28qrst + 12qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -14qrst + 6qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -14qrst + 6qrstx)' equal to zero and attempt to solve: Simplifying -1 + -14qrst + 6qrstx = 0 Solving -1 + -14qrst + 6qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -14qrst + 1 + 6qrstx = 0 + 1 Reorder the terms: -1 + 1 + -14qrst + 6qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -14qrst + 6qrstx = 0 + 1 -14qrst + 6qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 -14qrst + 6qrstx = 1 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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