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Simplifying sqr(sqr(x + 2) + -1sqr(x + -2)) = sqr(-5x + -10) Reorder the terms: qrs(qrs(2 + x) + -1sqr(x + -2)) = sqr(-5x + -10) qrs((2 * qrs + x * qrs) + -1sqr(x + -2)) = sqr(-5x + -10) qrs((2qrs + qrsx) + -1sqr(x + -2)) = sqr(-5x + -10) Reorder the terms: qrs(2qrs + qrsx + -1qrs(-2 + x)) = sqr(-5x + -10) qrs(2qrs + qrsx + (-2 * -1qrs + x * -1qrs)) = sqr(-5x + -10) qrs(2qrs + qrsx + (2qrs + -1qrsx)) = sqr(-5x + -10) Reorder the terms: qrs(2qrs + 2qrs + qrsx + -1qrsx) = sqr(-5x + -10) Combine like terms: 2qrs + 2qrs = 4qrs qrs(4qrs + qrsx + -1qrsx) = sqr(-5x + -10) Combine like terms: qrsx + -1qrsx = 0 qrs(4qrs + 0) = sqr(-5x + -10) qrs(4qrs) = sqr(-5x + -10) Remove parenthesis around (4qrs) qrs * 4qrs = sqr(-5x + -10) Reorder the terms for easier multiplication: 4qrs * qrs = sqr(-5x + -10) Multiply qrs * qrs 4q2r2s2 = sqr(-5x + -10) Reorder the terms: 4q2r2s2 = qrs(-10 + -5x) 4q2r2s2 = (-10 * qrs + -5x * qrs) 4q2r2s2 = (-10qrs + -5qrsx) Solving 4q2r2s2 = -10qrs + -5qrsx Solving for variable 'q'. Reorder the terms: 10qrs + 5qrsx + 4q2r2s2 = -10qrs + -5qrsx + 10qrs + 5qrsx Reorder the terms: 10qrs + 5qrsx + 4q2r2s2 = -10qrs + 10qrs + -5qrsx + 5qrsx Combine like terms: -10qrs + 10qrs = 0 10qrs + 5qrsx + 4q2r2s2 = 0 + -5qrsx + 5qrsx 10qrs + 5qrsx + 4q2r2s2 = -5qrsx + 5qrsx Combine like terms: -5qrsx + 5qrsx = 0 10qrs + 5qrsx + 4q2r2s2 = 0 Factor out the Greatest Common Factor (GCF), 'qrs'. qrs(10 + 5x + 4qrs) = 0Subproblem 1
Set the factor 'qrs' equal to zero and attempt to solve: Simplifying qrs = 0 Solving qrs = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrs = 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 '(10 + 5x + 4qrs)' equal to zero and attempt to solve: Simplifying 10 + 5x + 4qrs = 0 Reorder the terms: 10 + 4qrs + 5x = 0 Solving 10 + 4qrs + 5x = 0 Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4qrs + -10 + 5x = 0 + -10 Reorder the terms: 10 + -10 + 4qrs + 5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4qrs + 5x = 0 + -10 4qrs + 5x = 0 + -10 Combine like terms: 0 + -10 = -10 4qrs + 5x = -10 Add '-5x' to each side of the equation. 4qrs + 5x + -5x = -10 + -5x Combine like terms: 5x + -5x = 0 4qrs + 0 = -10 + -5x 4qrs = -10 + -5x Divide each side by '4rs'. q = -2.5r-1s-1 + -1.25r-1s-1x Simplifying q = -2.5r-1s-1 + -1.25r-1s-1xSolution
q = {-2.5r-1s-1 + -1.25r-1s-1x}
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