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Simplifying (X + -5)(x2 + -3x + 2) = 0 Reorder the terms: (-5 + X)(x2 + -3x + 2) = 0 Reorder the terms: (-5 + X)(2 + -3x + x2) = 0 Multiply (-5 + X) * (2 + -3x + x2) (-5(2 + -3x + x2) + X(2 + -3x + x2)) = 0 ((2 * -5 + -3x * -5 + x2 * -5) + X(2 + -3x + x2)) = 0 ((-10 + 15x + -5x2) + X(2 + -3x + x2)) = 0 (-10 + 15x + -5x2 + (2 * X + -3x * X + x2 * X)) = 0 (-10 + 15x + -5x2 + (2X + -3xX + x2X)) = 0 Reorder the terms: (-10 + 2X + 15x + -3xX + -5x2 + x2X) = 0 (-10 + 2X + 15x + -3xX + -5x2 + x2X) = 0 Solving -10 + 2X + 15x + -3xX + -5x2 + x2X = 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 + 2X + 15x + -3xX + -5x2 + 10 + x2X = 0 + 10 Reorder the terms: -10 + 10 + 2X + 15x + -3xX + -5x2 + x2X = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2X + 15x + -3xX + -5x2 + x2X = 0 + 10 2X + 15x + -3xX + -5x2 + x2X = 0 + 10 Combine like terms: 0 + 10 = 10 2X + 15x + -3xX + -5x2 + x2X = 10 Add '-15x' to each side of the equation. 2X + 15x + -3xX + -5x2 + -15x + x2X = 10 + -15x Reorder the terms: 2X + 15x + -15x + -3xX + -5x2 + x2X = 10 + -15x Combine like terms: 15x + -15x = 0 2X + 0 + -3xX + -5x2 + x2X = 10 + -15x 2X + -3xX + -5x2 + x2X = 10 + -15x Add '5x2' to each side of the equation. 2X + -3xX + -5x2 + 5x2 + x2X = 10 + -15x + 5x2 Combine like terms: -5x2 + 5x2 = 0 2X + -3xX + 0 + x2X = 10 + -15x + 5x2 2X + -3xX + x2X = 10 + -15x + 5x2 Reorder the terms: -10 + 2X + 15x + -3xX + -5x2 + x2X = 10 + -15x + 5x2 + -10 + 15x + -5x2 Reorder the terms: -10 + 2X + 15x + -3xX + -5x2 + x2X = 10 + -10 + -15x + 15x + 5x2 + -5x2 Combine like terms: 10 + -10 = 0 -10 + 2X + 15x + -3xX + -5x2 + x2X = 0 + -15x + 15x + 5x2 + -5x2 -10 + 2X + 15x + -3xX + -5x2 + x2X = -15x + 15x + 5x2 + -5x2 Combine like terms: -15x + 15x = 0 -10 + 2X + 15x + -3xX + -5x2 + x2X = 0 + 5x2 + -5x2 -10 + 2X + 15x + -3xX + -5x2 + x2X = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -10 + 2X + 15x + -3xX + -5x2 + x2X = 0 The solution to this equation could not be determined.
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