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Simplifying (X + -12)(x2 + 2x + -3) = 0 Reorder the terms: (-12 + X)(x2 + 2x + -3) = 0 Reorder the terms: (-12 + X)(-3 + 2x + x2) = 0 Multiply (-12 + X) * (-3 + 2x + x2) (-12(-3 + 2x + x2) + X(-3 + 2x + x2)) = 0 ((-3 * -12 + 2x * -12 + x2 * -12) + X(-3 + 2x + x2)) = 0 ((36 + -24x + -12x2) + X(-3 + 2x + x2)) = 0 (36 + -24x + -12x2 + (-3 * X + 2x * X + x2 * X)) = 0 (36 + -24x + -12x2 + (-3X + 2xX + x2X)) = 0 Reorder the terms: (36 + -3X + -24x + 2xX + -12x2 + x2X) = 0 (36 + -3X + -24x + 2xX + -12x2 + x2X) = 0 Solving 36 + -3X + -24x + 2xX + -12x2 + 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 + -3X + -24x + 2xX + -12x2 + -36 + x2X = 0 + -36 Reorder the terms: 36 + -36 + -3X + -24x + 2xX + -12x2 + x2X = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -3X + -24x + 2xX + -12x2 + x2X = 0 + -36 -3X + -24x + 2xX + -12x2 + x2X = 0 + -36 Combine like terms: 0 + -36 = -36 -3X + -24x + 2xX + -12x2 + x2X = -36 Add '24x' to each side of the equation. -3X + -24x + 2xX + -12x2 + 24x + x2X = -36 + 24x Reorder the terms: -3X + -24x + 24x + 2xX + -12x2 + x2X = -36 + 24x Combine like terms: -24x + 24x = 0 -3X + 0 + 2xX + -12x2 + x2X = -36 + 24x -3X + 2xX + -12x2 + x2X = -36 + 24x Add '12x2' to each side of the equation. -3X + 2xX + -12x2 + 12x2 + x2X = -36 + 24x + 12x2 Combine like terms: -12x2 + 12x2 = 0 -3X + 2xX + 0 + x2X = -36 + 24x + 12x2 -3X + 2xX + x2X = -36 + 24x + 12x2 Reorder the terms: 36 + -3X + -24x + 2xX + -12x2 + x2X = -36 + 24x + 12x2 + 36 + -24x + -12x2 Reorder the terms: 36 + -3X + -24x + 2xX + -12x2 + x2X = -36 + 36 + 24x + -24x + 12x2 + -12x2 Combine like terms: -36 + 36 = 0 36 + -3X + -24x + 2xX + -12x2 + x2X = 0 + 24x + -24x + 12x2 + -12x2 36 + -3X + -24x + 2xX + -12x2 + x2X = 24x + -24x + 12x2 + -12x2 Combine like terms: 24x + -24x = 0 36 + -3X + -24x + 2xX + -12x2 + x2X = 0 + 12x2 + -12x2 36 + -3X + -24x + 2xX + -12x2 + x2X = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 36 + -3X + -24x + 2xX + -12x2 + x2X = 0 The solution to this equation could not be determined.
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