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Simplifying (X + 4)(x2 + -8x + 1) = 0 Reorder the terms: (4 + X)(x2 + -8x + 1) = 0 Reorder the terms: (4 + X)(1 + -8x + x2) = 0 Multiply (4 + X) * (1 + -8x + x2) (4(1 + -8x + x2) + X(1 + -8x + x2)) = 0 ((1 * 4 + -8x * 4 + x2 * 4) + X(1 + -8x + x2)) = 0 ((4 + -32x + 4x2) + X(1 + -8x + x2)) = 0 (4 + -32x + 4x2 + (1 * X + -8x * X + x2 * X)) = 0 (4 + -32x + 4x2 + (1X + -8xX + x2X)) = 0 Reorder the terms: (4 + 1X + -32x + -8xX + 4x2 + x2X) = 0 (4 + 1X + -32x + -8xX + 4x2 + x2X) = 0 Solving 4 + 1X + -32x + -8xX + 4x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 1X + -32x + -8xX + 4x2 + -4 + x2X = 0 + -4 Reorder the terms: 4 + -4 + 1X + -32x + -8xX + 4x2 + x2X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1X + -32x + -8xX + 4x2 + x2X = 0 + -4 1X + -32x + -8xX + 4x2 + x2X = 0 + -4 Combine like terms: 0 + -4 = -4 1X + -32x + -8xX + 4x2 + x2X = -4 Add '32x' to each side of the equation. 1X + -32x + -8xX + 4x2 + 32x + x2X = -4 + 32x Reorder the terms: 1X + -32x + 32x + -8xX + 4x2 + x2X = -4 + 32x Combine like terms: -32x + 32x = 0 1X + 0 + -8xX + 4x2 + x2X = -4 + 32x 1X + -8xX + 4x2 + x2X = -4 + 32x Add '-4x2' to each side of the equation. 1X + -8xX + 4x2 + -4x2 + x2X = -4 + 32x + -4x2 Combine like terms: 4x2 + -4x2 = 0 1X + -8xX + 0 + x2X = -4 + 32x + -4x2 1X + -8xX + x2X = -4 + 32x + -4x2 Reorder the terms: 4 + 1X + -32x + -8xX + 4x2 + x2X = -4 + 32x + -4x2 + 4 + -32x + 4x2 Reorder the terms: 4 + 1X + -32x + -8xX + 4x2 + x2X = -4 + 4 + 32x + -32x + -4x2 + 4x2 Combine like terms: -4 + 4 = 0 4 + 1X + -32x + -8xX + 4x2 + x2X = 0 + 32x + -32x + -4x2 + 4x2 4 + 1X + -32x + -8xX + 4x2 + x2X = 32x + -32x + -4x2 + 4x2 Combine like terms: 32x + -32x = 0 4 + 1X + -32x + -8xX + 4x2 + x2X = 0 + -4x2 + 4x2 4 + 1X + -32x + -8xX + 4x2 + x2X = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 4 + 1X + -32x + -8xX + 4x2 + x2X = 0 The solution to this equation could not be determined.
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