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Simplifying sqrt(3x2 + -5x + 7) + sqrt(3x2 + -7x + 2) = 3 Reorder the terms: qrst(7 + -5x + 3x2) + sqrt(3x2 + -7x + 2) = 3 (7 * qrst + -5x * qrst + 3x2 * qrst) + sqrt(3x2 + -7x + 2) = 3 (7qrst + -5qrstx + 3qrstx2) + sqrt(3x2 + -7x + 2) = 3 Reorder the terms: 7qrst + -5qrstx + 3qrstx2 + qrst(2 + -7x + 3x2) = 3 7qrst + -5qrstx + 3qrstx2 + (2 * qrst + -7x * qrst + 3x2 * qrst) = 3 7qrst + -5qrstx + 3qrstx2 + (2qrst + -7qrstx + 3qrstx2) = 3 Reorder the terms: 7qrst + 2qrst + -5qrstx + -7qrstx + 3qrstx2 + 3qrstx2 = 3 Combine like terms: 7qrst + 2qrst = 9qrst 9qrst + -5qrstx + -7qrstx + 3qrstx2 + 3qrstx2 = 3 Combine like terms: -5qrstx + -7qrstx = -12qrstx 9qrst + -12qrstx + 3qrstx2 + 3qrstx2 = 3 Combine like terms: 3qrstx2 + 3qrstx2 = 6qrstx2 9qrst + -12qrstx + 6qrstx2 = 3 Solving 9qrst + -12qrstx + 6qrstx2 = 3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -3 + 9qrst + -12qrstx + 6qrstx2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 9qrst + -12qrstx + 6qrstx2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 3qrst + -4qrstx + 2qrstx2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 3qrst + -4qrstx + 2qrstx2)' equal to zero and attempt to solve: Simplifying -1 + 3qrst + -4qrstx + 2qrstx2 = 0 Solving -1 + 3qrst + -4qrstx + 2qrstx2 = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3qrst + -4qrstx + 1 + 2qrstx2 = 0 + 1 Reorder the terms: -1 + 1 + 3qrst + -4qrstx + 2qrstx2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3qrst + -4qrstx + 2qrstx2 = 0 + 1 3qrst + -4qrstx + 2qrstx2 = 0 + 1 Combine like terms: 0 + 1 = 1 3qrst + -4qrstx + 2qrstx2 = 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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