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Simplifying X(3x + -2) = (3x + 5)(x + -2) Reorder the terms: X(-2 + 3x) = (3x + 5)(x + -2) (-2 * X + 3x * X) = (3x + 5)(x + -2) (-2X + 3xX) = (3x + 5)(x + -2) Reorder the terms: -2X + 3xX = (5 + 3x)(x + -2) Reorder the terms: -2X + 3xX = (5 + 3x)(-2 + x) Multiply (5 + 3x) * (-2 + x) -2X + 3xX = (5(-2 + x) + 3x * (-2 + x)) -2X + 3xX = ((-2 * 5 + x * 5) + 3x * (-2 + x)) -2X + 3xX = ((-10 + 5x) + 3x * (-2 + x)) -2X + 3xX = (-10 + 5x + (-2 * 3x + x * 3x)) -2X + 3xX = (-10 + 5x + (-6x + 3x2)) Combine like terms: 5x + -6x = -1x -2X + 3xX = (-10 + -1x + 3x2) Solving -2X + 3xX = -10 + -1x + 3x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 10 + -2X + x + 3xX + -3x2 = -10 + -1x + 3x2 + 10 + x + -3x2 Reorder the terms: 10 + -2X + x + 3xX + -3x2 = -10 + 10 + -1x + x + 3x2 + -3x2 Combine like terms: -10 + 10 = 0 10 + -2X + x + 3xX + -3x2 = 0 + -1x + x + 3x2 + -3x2 10 + -2X + x + 3xX + -3x2 = -1x + x + 3x2 + -3x2 Combine like terms: -1x + x = 0 10 + -2X + x + 3xX + -3x2 = 0 + 3x2 + -3x2 10 + -2X + x + 3xX + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 10 + -2X + x + 3xX + -3x2 = 0 The solution to this equation could not be determined.
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