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Simplifying sqrt(5x + -1) + -1sqrt(3x + -2) = sqrt(x + -1) Reorder the terms: qrst(-1 + 5x) + -1sqrt(3x + -2) = sqrt(x + -1) (-1 * qrst + 5x * qrst) + -1sqrt(3x + -2) = sqrt(x + -1) (-1qrst + 5qrstx) + -1sqrt(3x + -2) = sqrt(x + -1) Reorder the terms: -1qrst + 5qrstx + -1qrst(-2 + 3x) = sqrt(x + -1) -1qrst + 5qrstx + (-2 * -1qrst + 3x * -1qrst) = sqrt(x + -1) -1qrst + 5qrstx + (2qrst + -3qrstx) = sqrt(x + -1) Reorder the terms: -1qrst + 2qrst + 5qrstx + -3qrstx = sqrt(x + -1) Combine like terms: -1qrst + 2qrst = 1qrst 1qrst + 5qrstx + -3qrstx = sqrt(x + -1) Combine like terms: 5qrstx + -3qrstx = 2qrstx 1qrst + 2qrstx = sqrt(x + -1) Reorder the terms: 1qrst + 2qrstx = qrst(-1 + x) 1qrst + 2qrstx = (-1 * qrst + x * qrst) 1qrst + 2qrstx = (-1qrst + qrstx) Solving 1qrst + 2qrstx = -1qrst + qrstx 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. 1qrst + qrst + 2qrstx = -1qrst + qrst + qrstx Combine like terms: 1qrst + qrst = 2qrst 2qrst + 2qrstx = -1qrst + qrst + qrstx Combine like terms: -1qrst + qrst = 0 2qrst + 2qrstx = 0 + qrstx 2qrst + 2qrstx = qrstx Add '-1qrstx' to each side of the equation. 2qrst + 2qrstx + -1qrstx = qrstx + -1qrstx Combine like terms: 2qrstx + -1qrstx = 1qrstx 2qrst + 1qrstx = qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 2qrst + 1qrstx = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(2 + x) = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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