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Simplifying (6x2 + -1x + 3)(4x2 + 2x + 1) = 0 Reorder the terms: (3 + -1x + 6x2)(4x2 + 2x + 1) = 0 Reorder the terms: (3 + -1x + 6x2)(1 + 2x + 4x2) = 0 Multiply (3 + -1x + 6x2) * (1 + 2x + 4x2) (3(1 + 2x + 4x2) + -1x * (1 + 2x + 4x2) + 6x2 * (1 + 2x + 4x2)) = 0 ((1 * 3 + 2x * 3 + 4x2 * 3) + -1x * (1 + 2x + 4x2) + 6x2 * (1 + 2x + 4x2)) = 0 ((3 + 6x + 12x2) + -1x * (1 + 2x + 4x2) + 6x2 * (1 + 2x + 4x2)) = 0 (3 + 6x + 12x2 + (1 * -1x + 2x * -1x + 4x2 * -1x) + 6x2 * (1 + 2x + 4x2)) = 0 (3 + 6x + 12x2 + (-1x + -2x2 + -4x3) + 6x2 * (1 + 2x + 4x2)) = 0 (3 + 6x + 12x2 + -1x + -2x2 + -4x3 + (1 * 6x2 + 2x * 6x2 + 4x2 * 6x2)) = 0 (3 + 6x + 12x2 + -1x + -2x2 + -4x3 + (6x2 + 12x3 + 24x4)) = 0 Reorder the terms: (3 + 6x + -1x + 12x2 + -2x2 + 6x2 + -4x3 + 12x3 + 24x4) = 0 Combine like terms: 6x + -1x = 5x (3 + 5x + 12x2 + -2x2 + 6x2 + -4x3 + 12x3 + 24x4) = 0 Combine like terms: 12x2 + -2x2 = 10x2 (3 + 5x + 10x2 + 6x2 + -4x3 + 12x3 + 24x4) = 0 Combine like terms: 10x2 + 6x2 = 16x2 (3 + 5x + 16x2 + -4x3 + 12x3 + 24x4) = 0 Combine like terms: -4x3 + 12x3 = 8x3 (3 + 5x + 16x2 + 8x3 + 24x4) = 0 Solving 3 + 5x + 16x2 + 8x3 + 24x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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