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Simplifying (x2 + 2x + 8)(3x + 27) = 0 Reorder the terms: (8 + 2x + x2)(3x + 27) = 0 Reorder the terms: (8 + 2x + x2)(27 + 3x) = 0 Multiply (8 + 2x + x2) * (27 + 3x) (8(27 + 3x) + 2x * (27 + 3x) + x2(27 + 3x)) = 0 ((27 * 8 + 3x * 8) + 2x * (27 + 3x) + x2(27 + 3x)) = 0 ((216 + 24x) + 2x * (27 + 3x) + x2(27 + 3x)) = 0 (216 + 24x + (27 * 2x + 3x * 2x) + x2(27 + 3x)) = 0 (216 + 24x + (54x + 6x2) + x2(27 + 3x)) = 0 (216 + 24x + 54x + 6x2 + (27 * x2 + 3x * x2)) = 0 (216 + 24x + 54x + 6x2 + (27x2 + 3x3)) = 0 Combine like terms: 24x + 54x = 78x (216 + 78x + 6x2 + 27x2 + 3x3) = 0 Combine like terms: 6x2 + 27x2 = 33x2 (216 + 78x + 33x2 + 3x3) = 0 Solving 216 + 78x + 33x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(72 + 26x + 11x2 + x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(72 + 26x + 11x2 + x3)' equal to zero and attempt to solve: Simplifying 72 + 26x + 11x2 + x3 = 0 Solving 72 + 26x + 11x2 + x3 = 0 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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