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Simplifying sqrt(x2 + -3x + 2) + sqrt(X2 + -4x + 3) = 2sqrt(x2 + -5x + 4) Reorder the terms: qrst(2 + -3x + x2) + sqrt(X2 + -4x + 3) = 2sqrt(x2 + -5x + 4) (2 * qrst + -3x * qrst + x2 * qrst) + sqrt(X2 + -4x + 3) = 2sqrt(x2 + -5x + 4) (2qrst + -3qrstx + qrstx2) + sqrt(X2 + -4x + 3) = 2sqrt(x2 + -5x + 4) Reorder the terms: 2qrst + -3qrstx + qrstx2 + qrst(3 + X2 + -4x) = 2sqrt(x2 + -5x + 4) 2qrst + -3qrstx + qrstx2 + (3 * qrst + X2 * qrst + -4x * qrst) = 2sqrt(x2 + -5x + 4) 2qrst + -3qrstx + qrstx2 + (3qrst + qrstX2 + -4qrstx) = 2sqrt(x2 + -5x + 4) Reorder the terms: 2qrst + 3qrst + qrstX2 + -3qrstx + -4qrstx + qrstx2 = 2sqrt(x2 + -5x + 4) Combine like terms: 2qrst + 3qrst = 5qrst 5qrst + qrstX2 + -3qrstx + -4qrstx + qrstx2 = 2sqrt(x2 + -5x + 4) Combine like terms: -3qrstx + -4qrstx = -7qrstx 5qrst + qrstX2 + -7qrstx + qrstx2 = 2sqrt(x2 + -5x + 4) Reorder the terms: 5qrst + qrstX2 + -7qrstx + qrstx2 = 2qrst(4 + -5x + x2) 5qrst + qrstX2 + -7qrstx + qrstx2 = (4 * 2qrst + -5x * 2qrst + x2 * 2qrst) 5qrst + qrstX2 + -7qrstx + qrstx2 = (8qrst + -10qrstx + 2qrstx2) Solving 5qrst + qrstX2 + -7qrstx + qrstx2 = 8qrst + -10qrstx + 2qrstx2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8qrst' to each side of the equation. 5qrst + qrstX2 + -7qrstx + -8qrst + qrstx2 = 8qrst + -10qrstx + -8qrst + 2qrstx2 Reorder the terms: 5qrst + -8qrst + qrstX2 + -7qrstx + qrstx2 = 8qrst + -10qrstx + -8qrst + 2qrstx2 Combine like terms: 5qrst + -8qrst = -3qrst -3qrst + qrstX2 + -7qrstx + qrstx2 = 8qrst + -10qrstx + -8qrst + 2qrstx2 Reorder the terms: -3qrst + qrstX2 + -7qrstx + qrstx2 = 8qrst + -8qrst + -10qrstx + 2qrstx2 Combine like terms: 8qrst + -8qrst = 0 -3qrst + qrstX2 + -7qrstx + qrstx2 = 0 + -10qrstx + 2qrstx2 -3qrst + qrstX2 + -7qrstx + qrstx2 = -10qrstx + 2qrstx2 Add '10qrstx' to each side of the equation. -3qrst + qrstX2 + -7qrstx + 10qrstx + qrstx2 = -10qrstx + 10qrstx + 2qrstx2 Combine like terms: -7qrstx + 10qrstx = 3qrstx -3qrst + qrstX2 + 3qrstx + qrstx2 = -10qrstx + 10qrstx + 2qrstx2 Combine like terms: -10qrstx + 10qrstx = 0 -3qrst + qrstX2 + 3qrstx + qrstx2 = 0 + 2qrstx2 -3qrst + qrstX2 + 3qrstx + qrstx2 = 2qrstx2 Add '-2qrstx2' to each side of the equation. -3qrst + qrstX2 + 3qrstx + qrstx2 + -2qrstx2 = 2qrstx2 + -2qrstx2 Combine like terms: qrstx2 + -2qrstx2 = -1qrstx2 -3qrst + qrstX2 + 3qrstx + -1qrstx2 = 2qrstx2 + -2qrstx2 Combine like terms: 2qrstx2 + -2qrstx2 = 0 -3qrst + qrstX2 + 3qrstx + -1qrstx2 = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(-3 + X2 + 3x + -1x2) = 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 '(-3 + X2 + 3x + -1x2)' equal to zero and attempt to solve: Simplifying -3 + X2 + 3x + -1x2 = 0 Solving -3 + X2 + 3x + -1x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + X2 + 3x + 3 + -1x2 = 0 + 3 Reorder the terms: -3 + 3 + X2 + 3x + -1x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + X2 + 3x + -1x2 = 0 + 3 X2 + 3x + -1x2 = 0 + 3 Combine like terms: 0 + 3 = 3 X2 + 3x + -1x2 = 3 Add '-1X2' to each side of the equation. X2 + 3x + -1X2 + -1x2 = 3 + -1X2 Reorder the terms: X2 + -1X2 + 3x + -1x2 = 3 + -1X2 Combine like terms: X2 + -1X2 = 0 0 + 3x + -1x2 = 3 + -1X2 3x + -1x2 = 3 + -1X2 Add '-3x' to each side of the equation. 3x + -3x + -1x2 = 3 + -1X2 + -3x Combine like terms: 3x + -3x = 0 0 + -1x2 = 3 + -1X2 + -3x -1x2 = 3 + -1X2 + -3x Add 'x2' to each side of the equation. -1x2 + x2 = 3 + -1X2 + -3x + x2 Combine like terms: -1x2 + x2 = 0 0 = 3 + -1X2 + -3x + x2 Simplifying 0 = 3 + -1X2 + -3x + x2 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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