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Simplifying (x2 + 2x + 4)(2x2 + 2x + 6) = 0 Reorder the terms: (4 + 2x + x2)(2x2 + 2x + 6) = 0 Reorder the terms: (4 + 2x + x2)(6 + 2x + 2x2) = 0 Multiply (4 + 2x + x2) * (6 + 2x + 2x2) (4(6 + 2x + 2x2) + 2x * (6 + 2x + 2x2) + x2(6 + 2x + 2x2)) = 0 ((6 * 4 + 2x * 4 + 2x2 * 4) + 2x * (6 + 2x + 2x2) + x2(6 + 2x + 2x2)) = 0 ((24 + 8x + 8x2) + 2x * (6 + 2x + 2x2) + x2(6 + 2x + 2x2)) = 0 (24 + 8x + 8x2 + (6 * 2x + 2x * 2x + 2x2 * 2x) + x2(6 + 2x + 2x2)) = 0 (24 + 8x + 8x2 + (12x + 4x2 + 4x3) + x2(6 + 2x + 2x2)) = 0 (24 + 8x + 8x2 + 12x + 4x2 + 4x3 + (6 * x2 + 2x * x2 + 2x2 * x2)) = 0 (24 + 8x + 8x2 + 12x + 4x2 + 4x3 + (6x2 + 2x3 + 2x4)) = 0 Reorder the terms: (24 + 8x + 12x + 8x2 + 4x2 + 6x2 + 4x3 + 2x3 + 2x4) = 0 Combine like terms: 8x + 12x = 20x (24 + 20x + 8x2 + 4x2 + 6x2 + 4x3 + 2x3 + 2x4) = 0 Combine like terms: 8x2 + 4x2 = 12x2 (24 + 20x + 12x2 + 6x2 + 4x3 + 2x3 + 2x4) = 0 Combine like terms: 12x2 + 6x2 = 18x2 (24 + 20x + 18x2 + 4x3 + 2x3 + 2x4) = 0 Combine like terms: 4x3 + 2x3 = 6x3 (24 + 20x + 18x2 + 6x3 + 2x4) = 0 Solving 24 + 20x + 18x2 + 6x3 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 10x + 9x2 + 3x3 + x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + 10x + 9x2 + 3x3 + x4)' equal to zero and attempt to solve: Simplifying 12 + 10x + 9x2 + 3x3 + x4 = 0 Solving 12 + 10x + 9x2 + 3x3 + x4 = 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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