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