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Simplifying (X + 2)(2x2 + 4x + -5) = 0 Reorder the terms: (2 + X)(2x2 + 4x + -5) = 0 Reorder the terms: (2 + X)(-5 + 4x + 2x2) = 0 Multiply (2 + X) * (-5 + 4x + 2x2) (2(-5 + 4x + 2x2) + X(-5 + 4x + 2x2)) = 0 ((-5 * 2 + 4x * 2 + 2x2 * 2) + X(-5 + 4x + 2x2)) = 0 ((-10 + 8x + 4x2) + X(-5 + 4x + 2x2)) = 0 (-10 + 8x + 4x2 + (-5 * X + 4x * X + 2x2 * X)) = 0 (-10 + 8x + 4x2 + (-5X + 4xX + 2x2X)) = 0 Reorder the terms: (-10 + -5X + 8x + 4xX + 4x2 + 2x2X) = 0 (-10 + -5X + 8x + 4xX + 4x2 + 2x2X) = 0 Solving -10 + -5X + 8x + 4xX + 4x2 + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5X + 8x + 4xX + 4x2 + 10 + 2x2X = 0 + 10 Reorder the terms: -10 + 10 + -5X + 8x + 4xX + 4x2 + 2x2X = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5X + 8x + 4xX + 4x2 + 2x2X = 0 + 10 -5X + 8x + 4xX + 4x2 + 2x2X = 0 + 10 Combine like terms: 0 + 10 = 10 -5X + 8x + 4xX + 4x2 + 2x2X = 10 Add '-8x' to each side of the equation. -5X + 8x + 4xX + 4x2 + -8x + 2x2X = 10 + -8x Reorder the terms: -5X + 8x + -8x + 4xX + 4x2 + 2x2X = 10 + -8x Combine like terms: 8x + -8x = 0 -5X + 0 + 4xX + 4x2 + 2x2X = 10 + -8x -5X + 4xX + 4x2 + 2x2X = 10 + -8x Add '-4x2' to each side of the equation. -5X + 4xX + 4x2 + -4x2 + 2x2X = 10 + -8x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5X + 4xX + 0 + 2x2X = 10 + -8x + -4x2 -5X + 4xX + 2x2X = 10 + -8x + -4x2 Reorder the terms: -10 + -5X + 8x + 4xX + 4x2 + 2x2X = 10 + -8x + -4x2 + -10 + 8x + 4x2 Reorder the terms: -10 + -5X + 8x + 4xX + 4x2 + 2x2X = 10 + -10 + -8x + 8x + -4x2 + 4x2 Combine like terms: 10 + -10 = 0 -10 + -5X + 8x + 4xX + 4x2 + 2x2X = 0 + -8x + 8x + -4x2 + 4x2 -10 + -5X + 8x + 4xX + 4x2 + 2x2X = -8x + 8x + -4x2 + 4x2 Combine like terms: -8x + 8x = 0 -10 + -5X + 8x + 4xX + 4x2 + 2x2X = 0 + -4x2 + 4x2 -10 + -5X + 8x + 4xX + 4x2 + 2x2X = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -10 + -5X + 8x + 4xX + 4x2 + 2x2X = 0 The solution to this equation could not be determined.
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