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Simplifying sqrt(x + -3) + sqrt(3x + -3) = 10 Reorder the terms: qrst(-3 + x) + sqrt(3x + -3) = 10 (-3 * qrst + x * qrst) + sqrt(3x + -3) = 10 (-3qrst + qrstx) + sqrt(3x + -3) = 10 Reorder the terms: -3qrst + qrstx + qrst(-3 + 3x) = 10 -3qrst + qrstx + (-3 * qrst + 3x * qrst) = 10 -3qrst + qrstx + (-3qrst + 3qrstx) = 10 Reorder the terms: -3qrst + -3qrst + qrstx + 3qrstx = 10 Combine like terms: -3qrst + -3qrst = -6qrst -6qrst + qrstx + 3qrstx = 10 Combine like terms: qrstx + 3qrstx = 4qrstx -6qrst + 4qrstx = 10 Solving -6qrst + 4qrstx = 10 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -10 + -6qrst + 4qrstx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -6qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -3qrst + 2qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -3qrst + 2qrstx)' equal to zero and attempt to solve: Simplifying -5 + -3qrst + 2qrstx = 0 Solving -5 + -3qrst + 2qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -3qrst + 5 + 2qrstx = 0 + 5 Reorder the terms: -5 + 5 + -3qrst + 2qrstx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3qrst + 2qrstx = 0 + 5 -3qrst + 2qrstx = 0 + 5 Combine like terms: 0 + 5 = 5 -3qrst + 2qrstx = 5 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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