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Simplifying X(2x + 5) + -1 = 2x2 + 3x + 2 Reorder the terms: X(5 + 2x) + -1 = 2x2 + 3x + 2 (5 * X + 2x * X) + -1 = 2x2 + 3x + 2 (5X + 2xX) + -1 = 2x2 + 3x + 2 Reorder the terms: -1 + 5X + 2xX = 2x2 + 3x + 2 Reorder the terms: -1 + 5X + 2xX = 2 + 3x + 2x2 Solving -1 + 5X + 2xX = 2 + 3x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5X + 1 + 2xX = 2 + 3x + 1 + 2x2 Reorder the terms: -1 + 1 + 5X + 2xX = 2 + 3x + 1 + 2x2 Combine like terms: -1 + 1 = 0 0 + 5X + 2xX = 2 + 3x + 1 + 2x2 5X + 2xX = 2 + 3x + 1 + 2x2 Reorder the terms: 5X + 2xX = 2 + 1 + 3x + 2x2 Combine like terms: 2 + 1 = 3 5X + 2xX = 3 + 3x + 2x2 Reorder the terms: -3 + 5X + -3x + 2xX + -2x2 = 3 + 3x + 2x2 + -3 + -3x + -2x2 Reorder the terms: -3 + 5X + -3x + 2xX + -2x2 = 3 + -3 + 3x + -3x + 2x2 + -2x2 Combine like terms: 3 + -3 = 0 -3 + 5X + -3x + 2xX + -2x2 = 0 + 3x + -3x + 2x2 + -2x2 -3 + 5X + -3x + 2xX + -2x2 = 3x + -3x + 2x2 + -2x2 Combine like terms: 3x + -3x = 0 -3 + 5X + -3x + 2xX + -2x2 = 0 + 2x2 + -2x2 -3 + 5X + -3x + 2xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + 5X + -3x + 2xX + -2x2 = 0 The solution to this equation could not be determined.
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