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Simplifying 8 + 9sqrt((3x + -1)(x + -2)) = 3x2 + -7 Reorder the terms: 8 + 9qrst((-1 + 3x)(x + -2)) = 3x2 + -7 Reorder the terms: 8 + 9qrst((-1 + 3x)(-2 + x)) = 3x2 + -7 Multiply (-1 + 3x) * (-2 + x) 8 + 9qrst((-1(-2 + x) + 3x * (-2 + x))) = 3x2 + -7 8 + 9qrst(((-2 * -1 + x * -1) + 3x * (-2 + x))) = 3x2 + -7 8 + 9qrst(((2 + -1x) + 3x * (-2 + x))) = 3x2 + -7 8 + 9qrst((2 + -1x + (-2 * 3x + x * 3x))) = 3x2 + -7 8 + 9qrst((2 + -1x + (-6x + 3x2))) = 3x2 + -7 Combine like terms: -1x + -6x = -7x 8 + 9qrst((2 + -7x + 3x2)) = 3x2 + -7 8 + (2 * 9qrst + -7x * 9qrst + 3x2 * 9qrst) = 3x2 + -7 8 + (18qrst + -63qrstx + 27qrstx2) = 3x2 + -7 Reorder the terms: 8 + 18qrst + -63qrstx + 27qrstx2 = -7 + 3x2 Solving 8 + 18qrst + -63qrstx + 27qrstx2 = -7 + 3x2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 18qrst + -63qrstx + -8 + 27qrstx2 = -7 + -8 + 3x2 Reorder the terms: 8 + -8 + 18qrst + -63qrstx + 27qrstx2 = -7 + -8 + 3x2 Combine like terms: 8 + -8 = 0 0 + 18qrst + -63qrstx + 27qrstx2 = -7 + -8 + 3x2 18qrst + -63qrstx + 27qrstx2 = -7 + -8 + 3x2 Combine like terms: -7 + -8 = -15 18qrst + -63qrstx + 27qrstx2 = -15 + 3x2 Reorder the terms: 15 + 18qrst + -63qrstx + 27qrstx2 + -3x2 = -15 + 3x2 + 15 + -3x2 Reorder the terms: 15 + 18qrst + -63qrstx + 27qrstx2 + -3x2 = -15 + 15 + 3x2 + -3x2 Combine like terms: -15 + 15 = 0 15 + 18qrst + -63qrstx + 27qrstx2 + -3x2 = 0 + 3x2 + -3x2 15 + 18qrst + -63qrstx + 27qrstx2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 15 + 18qrst + -63qrstx + 27qrstx2 + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 6qrst + -21qrstx + 9qrstx2 + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + 6qrst + -21qrstx + 9qrstx2 + -1x2)' equal to zero and attempt to solve: Simplifying 5 + 6qrst + -21qrstx + 9qrstx2 + -1x2 = 0 Solving 5 + 6qrst + -21qrstx + 9qrstx2 + -1x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6qrst + -21qrstx + 9qrstx2 + -5 + -1x2 = 0 + -5 Reorder the terms: 5 + -5 + 6qrst + -21qrstx + 9qrstx2 + -1x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6qrst + -21qrstx + 9qrstx2 + -1x2 = 0 + -5 6qrst + -21qrstx + 9qrstx2 + -1x2 = 0 + -5 Combine like terms: 0 + -5 = -5 6qrst + -21qrstx + 9qrstx2 + -1x2 = -5 Add 'x2' to each side of the equation. 6qrst + -21qrstx + 9qrstx2 + -1x2 + x2 = -5 + x2 Combine like terms: -1x2 + x2 = 0 6qrst + -21qrstx + 9qrstx2 + 0 = -5 + x2 6qrst + -21qrstx + 9qrstx2 = -5 + x2 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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