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Simplifying sqrt(3 + -1x) = sqrt(-1 + -5x) (3 * qrst + -1x * qrst) = sqrt(-1 + -5x) (3qrst + -1qrstx) = sqrt(-1 + -5x) 3qrst + -1qrstx = (-1 * qrst + -5x * qrst) 3qrst + -1qrstx = (-1qrst + -5qrstx) Solving 3qrst + -1qrstx = -1qrst + -5qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'qrst' to each side of the equation. 3qrst + qrst + -1qrstx = -1qrst + qrst + -5qrstx Combine like terms: 3qrst + qrst = 4qrst 4qrst + -1qrstx = -1qrst + qrst + -5qrstx Combine like terms: -1qrst + qrst = 0 4qrst + -1qrstx = 0 + -5qrstx 4qrst + -1qrstx = -5qrstx Add '5qrstx' to each side of the equation. 4qrst + -1qrstx + 5qrstx = -5qrstx + 5qrstx Combine like terms: -1qrstx + 5qrstx = 4qrstx 4qrst + 4qrstx = -5qrstx + 5qrstx Combine like terms: -5qrstx + 5qrstx = 0 4qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '4qrst'. 4qrst(1 + x) = 0 Ignore the factor 4.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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