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Simplifying (4x3 + 2x2 + 50)(2x + 5) = 0 Reorder the terms: (50 + 2x2 + 4x3)(2x + 5) = 0 Reorder the terms: (50 + 2x2 + 4x3)(5 + 2x) = 0 Multiply (50 + 2x2 + 4x3) * (5 + 2x) (50(5 + 2x) + 2x2 * (5 + 2x) + 4x3 * (5 + 2x)) = 0 ((5 * 50 + 2x * 50) + 2x2 * (5 + 2x) + 4x3 * (5 + 2x)) = 0 ((250 + 100x) + 2x2 * (5 + 2x) + 4x3 * (5 + 2x)) = 0 (250 + 100x + (5 * 2x2 + 2x * 2x2) + 4x3 * (5 + 2x)) = 0 (250 + 100x + (10x2 + 4x3) + 4x3 * (5 + 2x)) = 0 (250 + 100x + 10x2 + 4x3 + (5 * 4x3 + 2x * 4x3)) = 0 (250 + 100x + 10x2 + 4x3 + (20x3 + 8x4)) = 0 Combine like terms: 4x3 + 20x3 = 24x3 (250 + 100x + 10x2 + 24x3 + 8x4) = 0 Solving 250 + 100x + 10x2 + 24x3 + 8x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(125 + 50x + 5x2 + 12x3 + 4x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(125 + 50x + 5x2 + 12x3 + 4x4)' equal to zero and attempt to solve: Simplifying 125 + 50x + 5x2 + 12x3 + 4x4 = 0 Solving 125 + 50x + 5x2 + 12x3 + 4x4 = 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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