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