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Simplifying (4x2 + -1x + 6)(x2 + 2x + 4) = 0 Reorder the terms: (6 + -1x + 4x2)(x2 + 2x + 4) = 0 Reorder the terms: (6 + -1x + 4x2)(4 + 2x + x2) = 0 Multiply (6 + -1x + 4x2) * (4 + 2x + x2) (6(4 + 2x + x2) + -1x * (4 + 2x + x2) + 4x2 * (4 + 2x + x2)) = 0 ((4 * 6 + 2x * 6 + x2 * 6) + -1x * (4 + 2x + x2) + 4x2 * (4 + 2x + x2)) = 0 ((24 + 12x + 6x2) + -1x * (4 + 2x + x2) + 4x2 * (4 + 2x + x2)) = 0 (24 + 12x + 6x2 + (4 * -1x + 2x * -1x + x2 * -1x) + 4x2 * (4 + 2x + x2)) = 0 (24 + 12x + 6x2 + (-4x + -2x2 + -1x3) + 4x2 * (4 + 2x + x2)) = 0 (24 + 12x + 6x2 + -4x + -2x2 + -1x3 + (4 * 4x2 + 2x * 4x2 + x2 * 4x2)) = 0 (24 + 12x + 6x2 + -4x + -2x2 + -1x3 + (16x2 + 8x3 + 4x4)) = 0 Reorder the terms: (24 + 12x + -4x + 6x2 + -2x2 + 16x2 + -1x3 + 8x3 + 4x4) = 0 Combine like terms: 12x + -4x = 8x (24 + 8x + 6x2 + -2x2 + 16x2 + -1x3 + 8x3 + 4x4) = 0 Combine like terms: 6x2 + -2x2 = 4x2 (24 + 8x + 4x2 + 16x2 + -1x3 + 8x3 + 4x4) = 0 Combine like terms: 4x2 + 16x2 = 20x2 (24 + 8x + 20x2 + -1x3 + 8x3 + 4x4) = 0 Combine like terms: -1x3 + 8x3 = 7x3 (24 + 8x + 20x2 + 7x3 + 4x4) = 0 Solving 24 + 8x + 20x2 + 7x3 + 4x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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