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Simplifying (X + -4)(x2 + -3x + -9) = 0 Reorder the terms: (-4 + X)(x2 + -3x + -9) = 0 Reorder the terms: (-4 + X)(-9 + -3x + x2) = 0 Multiply (-4 + X) * (-9 + -3x + x2) (-4(-9 + -3x + x2) + X(-9 + -3x + x2)) = 0 ((-9 * -4 + -3x * -4 + x2 * -4) + X(-9 + -3x + x2)) = 0 ((36 + 12x + -4x2) + X(-9 + -3x + x2)) = 0 (36 + 12x + -4x2 + (-9 * X + -3x * X + x2 * X)) = 0 (36 + 12x + -4x2 + (-9X + -3xX + x2X)) = 0 Reorder the terms: (36 + -9X + 12x + -3xX + -4x2 + x2X) = 0 (36 + -9X + 12x + -3xX + -4x2 + x2X) = 0 Solving 36 + -9X + 12x + -3xX + -4x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -9X + 12x + -3xX + -4x2 + -36 + x2X = 0 + -36 Reorder the terms: 36 + -36 + -9X + 12x + -3xX + -4x2 + x2X = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -9X + 12x + -3xX + -4x2 + x2X = 0 + -36 -9X + 12x + -3xX + -4x2 + x2X = 0 + -36 Combine like terms: 0 + -36 = -36 -9X + 12x + -3xX + -4x2 + x2X = -36 Add '-12x' to each side of the equation. -9X + 12x + -3xX + -4x2 + -12x + x2X = -36 + -12x Reorder the terms: -9X + 12x + -12x + -3xX + -4x2 + x2X = -36 + -12x Combine like terms: 12x + -12x = 0 -9X + 0 + -3xX + -4x2 + x2X = -36 + -12x -9X + -3xX + -4x2 + x2X = -36 + -12x Add '4x2' to each side of the equation. -9X + -3xX + -4x2 + 4x2 + x2X = -36 + -12x + 4x2 Combine like terms: -4x2 + 4x2 = 0 -9X + -3xX + 0 + x2X = -36 + -12x + 4x2 -9X + -3xX + x2X = -36 + -12x + 4x2 Reorder the terms: 36 + -9X + 12x + -3xX + -4x2 + x2X = -36 + -12x + 4x2 + 36 + 12x + -4x2 Reorder the terms: 36 + -9X + 12x + -3xX + -4x2 + x2X = -36 + 36 + -12x + 12x + 4x2 + -4x2 Combine like terms: -36 + 36 = 0 36 + -9X + 12x + -3xX + -4x2 + x2X = 0 + -12x + 12x + 4x2 + -4x2 36 + -9X + 12x + -3xX + -4x2 + x2X = -12x + 12x + 4x2 + -4x2 Combine like terms: -12x + 12x = 0 36 + -9X + 12x + -3xX + -4x2 + x2X = 0 + 4x2 + -4x2 36 + -9X + 12x + -3xX + -4x2 + x2X = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 36 + -9X + 12x + -3xX + -4x2 + x2X = 0 The solution to this equation could not be determined.
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