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Simplifying sqrt(2x + -1) = sqrt(5x + -10) Reorder the terms: qrst(-1 + 2x) = sqrt(5x + -10) (-1 * qrst + 2x * qrst) = sqrt(5x + -10) (-1qrst + 2qrstx) = sqrt(5x + -10) Reorder the terms: -1qrst + 2qrstx = qrst(-10 + 5x) -1qrst + 2qrstx = (-10 * qrst + 5x * qrst) -1qrst + 2qrstx = (-10qrst + 5qrstx) Solving -1qrst + 2qrstx = -10qrst + 5qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10qrst' to each side of the equation. -1qrst + 10qrst + 2qrstx = -10qrst + 10qrst + 5qrstx Combine like terms: -1qrst + 10qrst = 9qrst 9qrst + 2qrstx = -10qrst + 10qrst + 5qrstx Combine like terms: -10qrst + 10qrst = 0 9qrst + 2qrstx = 0 + 5qrstx 9qrst + 2qrstx = 5qrstx Add '-5qrstx' to each side of the equation. 9qrst + 2qrstx + -5qrstx = 5qrstx + -5qrstx Combine like terms: 2qrstx + -5qrstx = -3qrstx 9qrst + -3qrstx = 5qrstx + -5qrstx Combine like terms: 5qrstx + -5qrstx = 0 9qrst + -3qrstx = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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