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Simplifying X(3x + -5) = (3x + 2)(x + -3) Reorder the terms: X(-5 + 3x) = (3x + 2)(x + -3) (-5 * X + 3x * X) = (3x + 2)(x + -3) (-5X + 3xX) = (3x + 2)(x + -3) Reorder the terms: -5X + 3xX = (2 + 3x)(x + -3) Reorder the terms: -5X + 3xX = (2 + 3x)(-3 + x) Multiply (2 + 3x) * (-3 + x) -5X + 3xX = (2(-3 + x) + 3x * (-3 + x)) -5X + 3xX = ((-3 * 2 + x * 2) + 3x * (-3 + x)) -5X + 3xX = ((-6 + 2x) + 3x * (-3 + x)) -5X + 3xX = (-6 + 2x + (-3 * 3x + x * 3x)) -5X + 3xX = (-6 + 2x + (-9x + 3x2)) Combine like terms: 2x + -9x = -7x -5X + 3xX = (-6 + -7x + 3x2) Solving -5X + 3xX = -6 + -7x + 3x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 6 + -5X + 7x + 3xX + -3x2 = -6 + -7x + 3x2 + 6 + 7x + -3x2 Reorder the terms: 6 + -5X + 7x + 3xX + -3x2 = -6 + 6 + -7x + 7x + 3x2 + -3x2 Combine like terms: -6 + 6 = 0 6 + -5X + 7x + 3xX + -3x2 = 0 + -7x + 7x + 3x2 + -3x2 6 + -5X + 7x + 3xX + -3x2 = -7x + 7x + 3x2 + -3x2 Combine like terms: -7x + 7x = 0 6 + -5X + 7x + 3xX + -3x2 = 0 + 3x2 + -3x2 6 + -5X + 7x + 3xX + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6 + -5X + 7x + 3xX + -3x2 = 0 The solution to this equation could not be determined.
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