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Simplifying sqrt(7x + -6) = sqrt(-7x + 5) Reorder the terms: qrst(-6 + 7x) = sqrt(-7x + 5) (-6 * qrst + 7x * qrst) = sqrt(-7x + 5) (-6qrst + 7qrstx) = sqrt(-7x + 5) Reorder the terms: -6qrst + 7qrstx = qrst(5 + -7x) -6qrst + 7qrstx = (5 * qrst + -7x * qrst) -6qrst + 7qrstx = (5qrst + -7qrstx) Solving -6qrst + 7qrstx = 5qrst + -7qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5qrst' to each side of the equation. -6qrst + -5qrst + 7qrstx = 5qrst + -5qrst + -7qrstx Combine like terms: -6qrst + -5qrst = -11qrst -11qrst + 7qrstx = 5qrst + -5qrst + -7qrstx Combine like terms: 5qrst + -5qrst = 0 -11qrst + 7qrstx = 0 + -7qrstx -11qrst + 7qrstx = -7qrstx Add '7qrstx' to each side of the equation. -11qrst + 7qrstx + 7qrstx = -7qrstx + 7qrstx Combine like terms: 7qrstx + 7qrstx = 14qrstx -11qrst + 14qrstx = -7qrstx + 7qrstx Combine like terms: -7qrstx + 7qrstx = 0 -11qrst + 14qrstx = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(-11 + 14x) = 0Subproblem 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 '(-11 + 14x)' equal to zero and attempt to solve: Simplifying -11 + 14x = 0 Solving -11 + 14x = 0 Move all terms containing q to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 14x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14x = 0 + 11 14x = 0 + 11 Combine like terms: 0 + 11 = 11 14x = 11 Add '-14x' to each side of the equation. 14x + -14x = 11 + -14x Combine like terms: 14x + -14x = 0 0 = 11 + -14x Simplifying 0 = 11 + -14x 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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