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Simplifying (5x2 + -2x + 4)(2x2 + 3x + 1) = 0 Reorder the terms: (4 + -2x + 5x2)(2x2 + 3x + 1) = 0 Reorder the terms: (4 + -2x + 5x2)(1 + 3x + 2x2) = 0 Multiply (4 + -2x + 5x2) * (1 + 3x + 2x2) (4(1 + 3x + 2x2) + -2x * (1 + 3x + 2x2) + 5x2 * (1 + 3x + 2x2)) = 0 ((1 * 4 + 3x * 4 + 2x2 * 4) + -2x * (1 + 3x + 2x2) + 5x2 * (1 + 3x + 2x2)) = 0 ((4 + 12x + 8x2) + -2x * (1 + 3x + 2x2) + 5x2 * (1 + 3x + 2x2)) = 0 (4 + 12x + 8x2 + (1 * -2x + 3x * -2x + 2x2 * -2x) + 5x2 * (1 + 3x + 2x2)) = 0 (4 + 12x + 8x2 + (-2x + -6x2 + -4x3) + 5x2 * (1 + 3x + 2x2)) = 0 (4 + 12x + 8x2 + -2x + -6x2 + -4x3 + (1 * 5x2 + 3x * 5x2 + 2x2 * 5x2)) = 0 (4 + 12x + 8x2 + -2x + -6x2 + -4x3 + (5x2 + 15x3 + 10x4)) = 0 Reorder the terms: (4 + 12x + -2x + 8x2 + -6x2 + 5x2 + -4x3 + 15x3 + 10x4) = 0 Combine like terms: 12x + -2x = 10x (4 + 10x + 8x2 + -6x2 + 5x2 + -4x3 + 15x3 + 10x4) = 0 Combine like terms: 8x2 + -6x2 = 2x2 (4 + 10x + 2x2 + 5x2 + -4x3 + 15x3 + 10x4) = 0 Combine like terms: 2x2 + 5x2 = 7x2 (4 + 10x + 7x2 + -4x3 + 15x3 + 10x4) = 0 Combine like terms: -4x3 + 15x3 = 11x3 (4 + 10x + 7x2 + 11x3 + 10x4) = 0 Solving 4 + 10x + 7x2 + 11x3 + 10x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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