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Simplifying 8 = sqrt(12 + -4x) 8 = (12 * qrst + -4x * qrst) 8 = (12qrst + -4qrstx) Solving 8 = 12qrst + -4qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12qrst' to each side of the equation. 8 + -12qrst = 12qrst + -12qrst + -4qrstx Combine like terms: 12qrst + -12qrst = 0 8 + -12qrst = 0 + -4qrstx 8 + -12qrst = -4qrstx Add '4qrstx' to each side of the equation. 8 + -12qrst + 4qrstx = -4qrstx + 4qrstx Combine like terms: -4qrstx + 4qrstx = 0 8 + -12qrst + 4qrstx = 0 Add '-8' to each side of the equation. 8 + -12qrst + -8 + 4qrstx = 0 + -8 Reorder the terms: 8 + -8 + -12qrst + 4qrstx = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -12qrst + 4qrstx = 0 + -8 -12qrst + 4qrstx = 0 + -8 Combine like terms: 0 + -8 = -8 -12qrst + 4qrstx = -8 Reorder the terms: 8 + -12qrst + 4qrstx = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -12qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -3qrst + qrstx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -3qrst + qrstx)' equal to zero and attempt to solve: Simplifying 2 + -3qrst + qrstx = 0 Solving 2 + -3qrst + qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3qrst + -2 + qrstx = 0 + -2 Reorder the terms: 2 + -2 + -3qrst + qrstx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3qrst + qrstx = 0 + -2 -3qrst + qrstx = 0 + -2 Combine like terms: 0 + -2 = -2 -3qrst + qrstx = -2 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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