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