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Simplifying sqrt(8 + 2x) + -1x = x + 6 (8 * qrst + 2x * qrst) + -1x = x + 6 (8qrst + 2qrstx) + -1x = x + 6 Reorder the terms: 8qrst + 2qrstx + -1x = 6 + x Solving 8qrst + 2qrstx + -1x = 6 + x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'x' to each side of the equation. 8qrst + 2qrstx + -1x + x = 6 + x + x Combine like terms: -1x + x = 0 8qrst + 2qrstx + 0 = 6 + x + x 8qrst + 2qrstx = 6 + x + x Combine like terms: x + x = 2x 8qrst + 2qrstx = 6 + 2x Reorder the terms: -6 + 8qrst + 2qrstx + -2x = 6 + 2x + -6 + -2x Reorder the terms: -6 + 8qrst + 2qrstx + -2x = 6 + -6 + 2x + -2x Combine like terms: 6 + -6 = 0 -6 + 8qrst + 2qrstx + -2x = 0 + 2x + -2x -6 + 8qrst + 2qrstx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 8qrst + 2qrstx + -2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 4qrst + qrstx + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 4qrst + qrstx + -1x)' equal to zero and attempt to solve: Simplifying -3 + 4qrst + qrstx + -1x = 0 Solving -3 + 4qrst + qrstx + -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 + 4qrst + qrstx + 3 + -1x = 0 + 3 Reorder the terms: -3 + 3 + 4qrst + qrstx + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4qrst + qrstx + -1x = 0 + 3 4qrst + qrstx + -1x = 0 + 3 Combine like terms: 0 + 3 = 3 4qrst + qrstx + -1x = 3 Add 'x' to each side of the equation. 4qrst + qrstx + -1x + x = 3 + x Combine like terms: -1x + x = 0 4qrst + qrstx + 0 = 3 + x 4qrst + qrstx = 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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