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Simplifying sqrt(x3 + 3x2 + 6x + 16) + -2sqrt(3) + -1sqrt(4 + -1x) = 0 Reorder the terms: qrst(16 + 6x + 3x2 + x3) + -2sqrt(3) + -1sqrt(4 + -1x) = 0 (16 * qrst + 6x * qrst + 3x2 * qrst + x3 * qrst) + -2sqrt(3) + -1sqrt(4 + -1x) = 0 (16qrst + 6qrstx + 3qrstx2 + qrstx3) + -2sqrt(3) + -1sqrt(4 + -1x) = 0 Reorder the terms for easier multiplication: 16qrst + 6qrstx + 3qrstx2 + qrstx3 + -2 * 3qrst + -1sqrt(4 + -1x) = 0 Multiply -2 * 3 16qrst + 6qrstx + 3qrstx2 + qrstx3 + -6qrst + -1sqrt(4 + -1x) = 0 16qrst + 6qrstx + 3qrstx2 + qrstx3 + -6qrst + (4 * -1qrst + -1x * -1qrst) = 0 16qrst + 6qrstx + 3qrstx2 + qrstx3 + -6qrst + (-4qrst + 1qrstx) = 0 Reorder the terms: 16qrst + -6qrst + -4qrst + 6qrstx + 1qrstx + 3qrstx2 + qrstx3 = 0 Combine like terms: 16qrst + -6qrst = 10qrst 10qrst + -4qrst + 6qrstx + 1qrstx + 3qrstx2 + qrstx3 = 0 Combine like terms: 10qrst + -4qrst = 6qrst 6qrst + 6qrstx + 1qrstx + 3qrstx2 + qrstx3 = 0 Combine like terms: 6qrstx + 1qrstx = 7qrstx 6qrst + 7qrstx + 3qrstx2 + qrstx3 = 0 Solving 6qrst + 7qrstx + 3qrstx2 + qrstx3 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(6 + 7x + 3x2 + x3) = 0Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6 + 7x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying 6 + 7x + 3x2 + x3 = 0 Solving 6 + 7x + 3x2 + x3 = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 7x + 3x2 + -6 + x3 = 0 + -6 Reorder the terms: 6 + -6 + 7x + 3x2 + x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x + 3x2 + x3 = 0 + -6 7x + 3x2 + x3 = 0 + -6 Combine like terms: 0 + -6 = -6 7x + 3x2 + x3 = -6 Add '-7x' to each side of the equation. 7x + 3x2 + -7x + x3 = -6 + -7x Reorder the terms: 7x + -7x + 3x2 + x3 = -6 + -7x Combine like terms: 7x + -7x = 0 0 + 3x2 + x3 = -6 + -7x 3x2 + x3 = -6 + -7x Add '-3x2' to each side of the equation. 3x2 + -3x2 + x3 = -6 + -7x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + x3 = -6 + -7x + -3x2 x3 = -6 + -7x + -3x2 Add '-1x3' to each side of the equation. x3 + -1x3 = -6 + -7x + -3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = -6 + -7x + -3x2 + -1x3 Simplifying 0 = -6 + -7x + -3x2 + -1x3 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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