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Simplifying (4x2 + 36x + 32)(x + 8) = 0 Reorder the terms: (32 + 36x + 4x2)(x + 8) = 0 Reorder the terms: (32 + 36x + 4x2)(8 + x) = 0 Multiply (32 + 36x + 4x2) * (8 + x) (32(8 + x) + 36x * (8 + x) + 4x2 * (8 + x)) = 0 ((8 * 32 + x * 32) + 36x * (8 + x) + 4x2 * (8 + x)) = 0 ((256 + 32x) + 36x * (8 + x) + 4x2 * (8 + x)) = 0 (256 + 32x + (8 * 36x + x * 36x) + 4x2 * (8 + x)) = 0 (256 + 32x + (288x + 36x2) + 4x2 * (8 + x)) = 0 (256 + 32x + 288x + 36x2 + (8 * 4x2 + x * 4x2)) = 0 (256 + 32x + 288x + 36x2 + (32x2 + 4x3)) = 0 Combine like terms: 32x + 288x = 320x (256 + 320x + 36x2 + 32x2 + 4x3) = 0 Combine like terms: 36x2 + 32x2 = 68x2 (256 + 320x + 68x2 + 4x3) = 0 Solving 256 + 320x + 68x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(64 + 80x + 17x2 + x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(64 + 80x + 17x2 + x3)' equal to zero and attempt to solve: Simplifying 64 + 80x + 17x2 + x3 = 0 Solving 64 + 80x + 17x2 + 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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