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