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Simplifying (X + 3)(x2 + -4x + 5) = 0 Reorder the terms: (3 + X)(x2 + -4x + 5) = 0 Reorder the terms: (3 + X)(5 + -4x + x2) = 0 Multiply (3 + X) * (5 + -4x + x2) (3(5 + -4x + x2) + X(5 + -4x + x2)) = 0 ((5 * 3 + -4x * 3 + x2 * 3) + X(5 + -4x + x2)) = 0 ((15 + -12x + 3x2) + X(5 + -4x + x2)) = 0 (15 + -12x + 3x2 + (5 * X + -4x * X + x2 * X)) = 0 (15 + -12x + 3x2 + (5X + -4xX + x2X)) = 0 Reorder the terms: (15 + 5X + -12x + -4xX + 3x2 + x2X) = 0 (15 + 5X + -12x + -4xX + 3x2 + x2X) = 0 Solving 15 + 5X + -12x + -4xX + 3x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5X + -12x + -4xX + 3x2 + -15 + x2X = 0 + -15 Reorder the terms: 15 + -15 + 5X + -12x + -4xX + 3x2 + x2X = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5X + -12x + -4xX + 3x2 + x2X = 0 + -15 5X + -12x + -4xX + 3x2 + x2X = 0 + -15 Combine like terms: 0 + -15 = -15 5X + -12x + -4xX + 3x2 + x2X = -15 Add '12x' to each side of the equation. 5X + -12x + -4xX + 3x2 + 12x + x2X = -15 + 12x Reorder the terms: 5X + -12x + 12x + -4xX + 3x2 + x2X = -15 + 12x Combine like terms: -12x + 12x = 0 5X + 0 + -4xX + 3x2 + x2X = -15 + 12x 5X + -4xX + 3x2 + x2X = -15 + 12x Add '-3x2' to each side of the equation. 5X + -4xX + 3x2 + -3x2 + x2X = -15 + 12x + -3x2 Combine like terms: 3x2 + -3x2 = 0 5X + -4xX + 0 + x2X = -15 + 12x + -3x2 5X + -4xX + x2X = -15 + 12x + -3x2 Reorder the terms: 15 + 5X + -12x + -4xX + 3x2 + x2X = -15 + 12x + -3x2 + 15 + -12x + 3x2 Reorder the terms: 15 + 5X + -12x + -4xX + 3x2 + x2X = -15 + 15 + 12x + -12x + -3x2 + 3x2 Combine like terms: -15 + 15 = 0 15 + 5X + -12x + -4xX + 3x2 + x2X = 0 + 12x + -12x + -3x2 + 3x2 15 + 5X + -12x + -4xX + 3x2 + x2X = 12x + -12x + -3x2 + 3x2 Combine like terms: 12x + -12x = 0 15 + 5X + -12x + -4xX + 3x2 + x2X = 0 + -3x2 + 3x2 15 + 5X + -12x + -4xX + 3x2 + x2X = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 15 + 5X + -12x + -4xX + 3x2 + x2X = 0 The solution to this equation could not be determined.
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