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Simplifying sqrt(x) + sqrt(x + -16) = 2 Multiply qrst * x qrstx + sqrt(x + -16) = 2 Reorder the terms: qrstx + qrst(-16 + x) = 2 qrstx + (-16 * qrst + x * qrst) = 2 qrstx + (-16qrst + qrstx) = 2 Reorder the terms: -16qrst + qrstx + qrstx = 2 Combine like terms: qrstx + qrstx = 2qrstx -16qrst + 2qrstx = 2 Solving -16qrst + 2qrstx = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -2 + -16qrst + 2qrstx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -16qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -8qrst + qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -8qrst + qrstx)' equal to zero and attempt to solve: Simplifying -1 + -8qrst + qrstx = 0 Solving -1 + -8qrst + qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -8qrst + 1 + qrstx = 0 + 1 Reorder the terms: -1 + 1 + -8qrst + qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8qrst + qrstx = 0 + 1 -8qrst + qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 -8qrst + qrstx = 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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