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Simplifying (X + -2)(x2 + 5x + -3) = 0 Reorder the terms: (-2 + X)(x2 + 5x + -3) = 0 Reorder the terms: (-2 + X)(-3 + 5x + x2) = 0 Multiply (-2 + X) * (-3 + 5x + x2) (-2(-3 + 5x + x2) + X(-3 + 5x + x2)) = 0 ((-3 * -2 + 5x * -2 + x2 * -2) + X(-3 + 5x + x2)) = 0 ((6 + -10x + -2x2) + X(-3 + 5x + x2)) = 0 (6 + -10x + -2x2 + (-3 * X + 5x * X + x2 * X)) = 0 (6 + -10x + -2x2 + (-3X + 5xX + x2X)) = 0 Reorder the terms: (6 + -3X + -10x + 5xX + -2x2 + x2X) = 0 (6 + -3X + -10x + 5xX + -2x2 + x2X) = 0 Solving 6 + -3X + -10x + 5xX + -2x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3X + -10x + 5xX + -2x2 + -6 + x2X = 0 + -6 Reorder the terms: 6 + -6 + -3X + -10x + 5xX + -2x2 + x2X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3X + -10x + 5xX + -2x2 + x2X = 0 + -6 -3X + -10x + 5xX + -2x2 + x2X = 0 + -6 Combine like terms: 0 + -6 = -6 -3X + -10x + 5xX + -2x2 + x2X = -6 Add '10x' to each side of the equation. -3X + -10x + 5xX + -2x2 + 10x + x2X = -6 + 10x Reorder the terms: -3X + -10x + 10x + 5xX + -2x2 + x2X = -6 + 10x Combine like terms: -10x + 10x = 0 -3X + 0 + 5xX + -2x2 + x2X = -6 + 10x -3X + 5xX + -2x2 + x2X = -6 + 10x Add '2x2' to each side of the equation. -3X + 5xX + -2x2 + 2x2 + x2X = -6 + 10x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -3X + 5xX + 0 + x2X = -6 + 10x + 2x2 -3X + 5xX + x2X = -6 + 10x + 2x2 Reorder the terms: 6 + -3X + -10x + 5xX + -2x2 + x2X = -6 + 10x + 2x2 + 6 + -10x + -2x2 Reorder the terms: 6 + -3X + -10x + 5xX + -2x2 + x2X = -6 + 6 + 10x + -10x + 2x2 + -2x2 Combine like terms: -6 + 6 = 0 6 + -3X + -10x + 5xX + -2x2 + x2X = 0 + 10x + -10x + 2x2 + -2x2 6 + -3X + -10x + 5xX + -2x2 + x2X = 10x + -10x + 2x2 + -2x2 Combine like terms: 10x + -10x = 0 6 + -3X + -10x + 5xX + -2x2 + x2X = 0 + 2x2 + -2x2 6 + -3X + -10x + 5xX + -2x2 + x2X = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 6 + -3X + -10x + 5xX + -2x2 + x2X = 0 The solution to this equation could not be determined.
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