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