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Simplifying sqrt(x3 + 12x2 + -11x + -2) + sqrt(x2 + 3x + -4) = 0 Reorder the terms: qrst(-2 + -11x + 12x2 + x3) + sqrt(x2 + 3x + -4) = 0 (-2 * qrst + -11x * qrst + 12x2 * qrst + x3 * qrst) + sqrt(x2 + 3x + -4) = 0 (-2qrst + -11qrstx + 12qrstx2 + qrstx3) + sqrt(x2 + 3x + -4) = 0 Reorder the terms: -2qrst + -11qrstx + 12qrstx2 + qrstx3 + qrst(-4 + 3x + x2) = 0 -2qrst + -11qrstx + 12qrstx2 + qrstx3 + (-4 * qrst + 3x * qrst + x2 * qrst) = 0 -2qrst + -11qrstx + 12qrstx2 + qrstx3 + (-4qrst + 3qrstx + qrstx2) = 0 Reorder the terms: -2qrst + -4qrst + -11qrstx + 3qrstx + 12qrstx2 + qrstx2 + qrstx3 = 0 Combine like terms: -2qrst + -4qrst = -6qrst -6qrst + -11qrstx + 3qrstx + 12qrstx2 + qrstx2 + qrstx3 = 0 Combine like terms: -11qrstx + 3qrstx = -8qrstx -6qrst + -8qrstx + 12qrstx2 + qrstx2 + qrstx3 = 0 Combine like terms: 12qrstx2 + qrstx2 = 13qrstx2 -6qrst + -8qrstx + 13qrstx2 + qrstx3 = 0 Solving -6qrst + -8qrstx + 13qrstx2 + 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 + -8x + 13x2 + 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 + -8x + 13x2 + x3)' equal to zero and attempt to solve: Simplifying -6 + -8x + 13x2 + x3 = 0 Solving -6 + -8x + 13x2 + 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 + -8x + 13x2 + 6 + x3 = 0 + 6 Reorder the terms: -6 + 6 + -8x + 13x2 + x3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -8x + 13x2 + x3 = 0 + 6 -8x + 13x2 + x3 = 0 + 6 Combine like terms: 0 + 6 = 6 -8x + 13x2 + x3 = 6 Add '8x' to each side of the equation. -8x + 13x2 + 8x + x3 = 6 + 8x Reorder the terms: -8x + 8x + 13x2 + x3 = 6 + 8x Combine like terms: -8x + 8x = 0 0 + 13x2 + x3 = 6 + 8x 13x2 + x3 = 6 + 8x Add '-13x2' to each side of the equation. 13x2 + -13x2 + x3 = 6 + 8x + -13x2 Combine like terms: 13x2 + -13x2 = 0 0 + x3 = 6 + 8x + -13x2 x3 = 6 + 8x + -13x2 Add '-1x3' to each side of the equation. x3 + -1x3 = 6 + 8x + -13x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 6 + 8x + -13x2 + -1x3 Simplifying 0 = 6 + 8x + -13x2 + -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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