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Simplifying (16x2 + 24x + 9)(8x + 6) = 0 Reorder the terms: (9 + 24x + 16x2)(8x + 6) = 0 Reorder the terms: (9 + 24x + 16x2)(6 + 8x) = 0 Multiply (9 + 24x + 16x2) * (6 + 8x) (9(6 + 8x) + 24x * (6 + 8x) + 16x2 * (6 + 8x)) = 0 ((6 * 9 + 8x * 9) + 24x * (6 + 8x) + 16x2 * (6 + 8x)) = 0 ((54 + 72x) + 24x * (6 + 8x) + 16x2 * (6 + 8x)) = 0 (54 + 72x + (6 * 24x + 8x * 24x) + 16x2 * (6 + 8x)) = 0 (54 + 72x + (144x + 192x2) + 16x2 * (6 + 8x)) = 0 (54 + 72x + 144x + 192x2 + (6 * 16x2 + 8x * 16x2)) = 0 (54 + 72x + 144x + 192x2 + (96x2 + 128x3)) = 0 Combine like terms: 72x + 144x = 216x (54 + 216x + 192x2 + 96x2 + 128x3) = 0 Combine like terms: 192x2 + 96x2 = 288x2 (54 + 216x + 288x2 + 128x3) = 0 Solving 54 + 216x + 288x2 + 128x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(27 + 108x + 144x2 + 64x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(27 + 108x + 144x2 + 64x3)' equal to zero and attempt to solve: Simplifying 27 + 108x + 144x2 + 64x3 = 0 Solving 27 + 108x + 144x2 + 64x3 = 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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