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Simplifying (2x2 + -3x + 5)(x2 + 4x + 1) = 0 Reorder the terms: (5 + -3x + 2x2)(x2 + 4x + 1) = 0 Reorder the terms: (5 + -3x + 2x2)(1 + 4x + x2) = 0 Multiply (5 + -3x + 2x2) * (1 + 4x + x2) (5(1 + 4x + x2) + -3x * (1 + 4x + x2) + 2x2 * (1 + 4x + x2)) = 0 ((1 * 5 + 4x * 5 + x2 * 5) + -3x * (1 + 4x + x2) + 2x2 * (1 + 4x + x2)) = 0 ((5 + 20x + 5x2) + -3x * (1 + 4x + x2) + 2x2 * (1 + 4x + x2)) = 0 (5 + 20x + 5x2 + (1 * -3x + 4x * -3x + x2 * -3x) + 2x2 * (1 + 4x + x2)) = 0 (5 + 20x + 5x2 + (-3x + -12x2 + -3x3) + 2x2 * (1 + 4x + x2)) = 0 (5 + 20x + 5x2 + -3x + -12x2 + -3x3 + (1 * 2x2 + 4x * 2x2 + x2 * 2x2)) = 0 (5 + 20x + 5x2 + -3x + -12x2 + -3x3 + (2x2 + 8x3 + 2x4)) = 0 Reorder the terms: (5 + 20x + -3x + 5x2 + -12x2 + 2x2 + -3x3 + 8x3 + 2x4) = 0 Combine like terms: 20x + -3x = 17x (5 + 17x + 5x2 + -12x2 + 2x2 + -3x3 + 8x3 + 2x4) = 0 Combine like terms: 5x2 + -12x2 = -7x2 (5 + 17x + -7x2 + 2x2 + -3x3 + 8x3 + 2x4) = 0 Combine like terms: -7x2 + 2x2 = -5x2 (5 + 17x + -5x2 + -3x3 + 8x3 + 2x4) = 0 Combine like terms: -3x3 + 8x3 = 5x3 (5 + 17x + -5x2 + 5x3 + 2x4) = 0 Solving 5 + 17x + -5x2 + 5x3 + 2x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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