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Simplifying (4x2 + -3x + 2)(3x2 + 4x + 1) = 0 Reorder the terms: (2 + -3x + 4x2)(3x2 + 4x + 1) = 0 Reorder the terms: (2 + -3x + 4x2)(1 + 4x + 3x2) = 0 Multiply (2 + -3x + 4x2) * (1 + 4x + 3x2) (2(1 + 4x + 3x2) + -3x * (1 + 4x + 3x2) + 4x2 * (1 + 4x + 3x2)) = 0 ((1 * 2 + 4x * 2 + 3x2 * 2) + -3x * (1 + 4x + 3x2) + 4x2 * (1 + 4x + 3x2)) = 0 ((2 + 8x + 6x2) + -3x * (1 + 4x + 3x2) + 4x2 * (1 + 4x + 3x2)) = 0 (2 + 8x + 6x2 + (1 * -3x + 4x * -3x + 3x2 * -3x) + 4x2 * (1 + 4x + 3x2)) = 0 (2 + 8x + 6x2 + (-3x + -12x2 + -9x3) + 4x2 * (1 + 4x + 3x2)) = 0 (2 + 8x + 6x2 + -3x + -12x2 + -9x3 + (1 * 4x2 + 4x * 4x2 + 3x2 * 4x2)) = 0 (2 + 8x + 6x2 + -3x + -12x2 + -9x3 + (4x2 + 16x3 + 12x4)) = 0 Reorder the terms: (2 + 8x + -3x + 6x2 + -12x2 + 4x2 + -9x3 + 16x3 + 12x4) = 0 Combine like terms: 8x + -3x = 5x (2 + 5x + 6x2 + -12x2 + 4x2 + -9x3 + 16x3 + 12x4) = 0 Combine like terms: 6x2 + -12x2 = -6x2 (2 + 5x + -6x2 + 4x2 + -9x3 + 16x3 + 12x4) = 0 Combine like terms: -6x2 + 4x2 = -2x2 (2 + 5x + -2x2 + -9x3 + 16x3 + 12x4) = 0 Combine like terms: -9x3 + 16x3 = 7x3 (2 + 5x + -2x2 + 7x3 + 12x4) = 0 Solving 2 + 5x + -2x2 + 7x3 + 12x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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