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Simplifying 2sqrt(22x + 5) = sqrt(5x + 4) Reorder the terms: 2qrst(5 + 22x) = sqrt(5x + 4) (5 * 2qrst + 22x * 2qrst) = sqrt(5x + 4) (10qrst + 44qrstx) = sqrt(5x + 4) Reorder the terms: 10qrst + 44qrstx = qrst(4 + 5x) 10qrst + 44qrstx = (4 * qrst + 5x * qrst) 10qrst + 44qrstx = (4qrst + 5qrstx) Solving 10qrst + 44qrstx = 4qrst + 5qrstx 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. 10qrst + -4qrst + 44qrstx = 4qrst + -4qrst + 5qrstx Combine like terms: 10qrst + -4qrst = 6qrst 6qrst + 44qrstx = 4qrst + -4qrst + 5qrstx Combine like terms: 4qrst + -4qrst = 0 6qrst + 44qrstx = 0 + 5qrstx 6qrst + 44qrstx = 5qrstx Add '-5qrstx' to each side of the equation. 6qrst + 44qrstx + -5qrstx = 5qrstx + -5qrstx Combine like terms: 44qrstx + -5qrstx = 39qrstx 6qrst + 39qrstx = 5qrstx + -5qrstx Combine like terms: 5qrstx + -5qrstx = 0 6qrst + 39qrstx = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(2 + 13x) = 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 '(2 + 13x)' equal to zero and attempt to solve: Simplifying 2 + 13x = 0 Solving 2 + 13x = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 0 + -2 13x = 0 + -2 Combine like terms: 0 + -2 = -2 13x = -2 Add '-13x' to each side of the equation. 13x + -13x = -2 + -13x Combine like terms: 13x + -13x = 0 0 = -2 + -13x Simplifying 0 = -2 + -13x 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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