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Simplifying sqrt(6x + -8) = sqrt(2x + 1) + -1sqrt(4x + -5) Reorder the terms: qrst(-8 + 6x) = sqrt(2x + 1) + -1sqrt(4x + -5) (-8 * qrst + 6x * qrst) = sqrt(2x + 1) + -1sqrt(4x + -5) (-8qrst + 6qrstx) = sqrt(2x + 1) + -1sqrt(4x + -5) Reorder the terms: -8qrst + 6qrstx = qrst(1 + 2x) + -1sqrt(4x + -5) -8qrst + 6qrstx = (1 * qrst + 2x * qrst) + -1sqrt(4x + -5) -8qrst + 6qrstx = (1qrst + 2qrstx) + -1sqrt(4x + -5) Reorder the terms: -8qrst + 6qrstx = 1qrst + 2qrstx + -1qrst(-5 + 4x) -8qrst + 6qrstx = 1qrst + 2qrstx + (-5 * -1qrst + 4x * -1qrst) -8qrst + 6qrstx = 1qrst + 2qrstx + (5qrst + -4qrstx) Reorder the terms: -8qrst + 6qrstx = 1qrst + 5qrst + 2qrstx + -4qrstx Combine like terms: 1qrst + 5qrst = 6qrst -8qrst + 6qrstx = 6qrst + 2qrstx + -4qrstx Combine like terms: 2qrstx + -4qrstx = -2qrstx -8qrst + 6qrstx = 6qrst + -2qrstx Solving -8qrst + 6qrstx = 6qrst + -2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6qrst' to each side of the equation. -8qrst + -6qrst + 6qrstx = 6qrst + -6qrst + -2qrstx Combine like terms: -8qrst + -6qrst = -14qrst -14qrst + 6qrstx = 6qrst + -6qrst + -2qrstx Combine like terms: 6qrst + -6qrst = 0 -14qrst + 6qrstx = 0 + -2qrstx -14qrst + 6qrstx = -2qrstx Add '2qrstx' to each side of the equation. -14qrst + 6qrstx + 2qrstx = -2qrstx + 2qrstx Combine like terms: 6qrstx + 2qrstx = 8qrstx -14qrst + 8qrstx = -2qrstx + 2qrstx Combine like terms: -2qrstx + 2qrstx = 0 -14qrst + 8qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-7 + 4x) = 0 Ignore the factor 2.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 + 4x)' equal to zero and attempt to solve: Simplifying -7 + 4x = 0 Solving -7 + 4x = 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 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Add '-4x' to each side of the equation. 4x + -4x = 7 + -4x Combine like terms: 4x + -4x = 0 0 = 7 + -4x Simplifying 0 = 7 + -4x 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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