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Simplifying 3 = 11 + -1sqrt(4 + -6x) 3 = 11 + (4 * -1qrst + -6x * -1qrst) 3 = 11 + (-4qrst + 6qrstx) Solving 3 = 11 + -4qrst + 6qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4qrst' to each side of the equation. 3 + 4qrst = 11 + -4qrst + 4qrst + 6qrstx Combine like terms: -4qrst + 4qrst = 0 3 + 4qrst = 11 + 0 + 6qrstx 3 + 4qrst = 11 + 6qrstx Add '-6qrstx' to each side of the equation. 3 + 4qrst + -6qrstx = 11 + 6qrstx + -6qrstx Combine like terms: 6qrstx + -6qrstx = 0 3 + 4qrst + -6qrstx = 11 + 0 3 + 4qrst + -6qrstx = 11 Add '-3' to each side of the equation. 3 + 4qrst + -3 + -6qrstx = 11 + -3 Reorder the terms: 3 + -3 + 4qrst + -6qrstx = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4qrst + -6qrstx = 11 + -3 4qrst + -6qrstx = 11 + -3 Combine like terms: 11 + -3 = 8 4qrst + -6qrstx = 8 Reorder the terms: -8 + 4qrst + -6qrstx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4qrst + -6qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 2qrst + -3qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 2qrst + -3qrstx)' equal to zero and attempt to solve: Simplifying -4 + 2qrst + -3qrstx = 0 Solving -4 + 2qrst + -3qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2qrst + 4 + -3qrstx = 0 + 4 Reorder the terms: -4 + 4 + 2qrst + -3qrstx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2qrst + -3qrstx = 0 + 4 2qrst + -3qrstx = 0 + 4 Combine like terms: 0 + 4 = 4 2qrst + -3qrstx = 4 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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