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Simplifying X(3x + 4) = (2x + 5)(x + -2) Reorder the terms: X(4 + 3x) = (2x + 5)(x + -2) (4 * X + 3x * X) = (2x + 5)(x + -2) (4X + 3xX) = (2x + 5)(x + -2) Reorder the terms: 4X + 3xX = (5 + 2x)(x + -2) Reorder the terms: 4X + 3xX = (5 + 2x)(-2 + x) Multiply (5 + 2x) * (-2 + x) 4X + 3xX = (5(-2 + x) + 2x * (-2 + x)) 4X + 3xX = ((-2 * 5 + x * 5) + 2x * (-2 + x)) 4X + 3xX = ((-10 + 5x) + 2x * (-2 + x)) 4X + 3xX = (-10 + 5x + (-2 * 2x + x * 2x)) 4X + 3xX = (-10 + 5x + (-4x + 2x2)) Combine like terms: 5x + -4x = 1x 4X + 3xX = (-10 + 1x + 2x2) Solving 4X + 3xX = -10 + 1x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 10 + 4X + -1x + 3xX + -2x2 = -10 + 1x + 2x2 + 10 + -1x + -2x2 Reorder the terms: 10 + 4X + -1x + 3xX + -2x2 = -10 + 10 + 1x + -1x + 2x2 + -2x2 Combine like terms: -10 + 10 = 0 10 + 4X + -1x + 3xX + -2x2 = 0 + 1x + -1x + 2x2 + -2x2 10 + 4X + -1x + 3xX + -2x2 = 1x + -1x + 2x2 + -2x2 Combine like terms: 1x + -1x = 0 10 + 4X + -1x + 3xX + -2x2 = 0 + 2x2 + -2x2 10 + 4X + -1x + 3xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 10 + 4X + -1x + 3xX + -2x2 = 0 The solution to this equation could not be determined.
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