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Simplifying X(3x + -5) = (3x + 8)(x + -5) Reorder the terms: X(-5 + 3x) = (3x + 8)(x + -5) (-5 * X + 3x * X) = (3x + 8)(x + -5) (-5X + 3xX) = (3x + 8)(x + -5) Reorder the terms: -5X + 3xX = (8 + 3x)(x + -5) Reorder the terms: -5X + 3xX = (8 + 3x)(-5 + x) Multiply (8 + 3x) * (-5 + x) -5X + 3xX = (8(-5 + x) + 3x * (-5 + x)) -5X + 3xX = ((-5 * 8 + x * 8) + 3x * (-5 + x)) -5X + 3xX = ((-40 + 8x) + 3x * (-5 + x)) -5X + 3xX = (-40 + 8x + (-5 * 3x + x * 3x)) -5X + 3xX = (-40 + 8x + (-15x + 3x2)) Combine like terms: 8x + -15x = -7x -5X + 3xX = (-40 + -7x + 3x2) Solving -5X + 3xX = -40 + -7x + 3x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 40 + -5X + 7x + 3xX + -3x2 = -40 + -7x + 3x2 + 40 + 7x + -3x2 Reorder the terms: 40 + -5X + 7x + 3xX + -3x2 = -40 + 40 + -7x + 7x + 3x2 + -3x2 Combine like terms: -40 + 40 = 0 40 + -5X + 7x + 3xX + -3x2 = 0 + -7x + 7x + 3x2 + -3x2 40 + -5X + 7x + 3xX + -3x2 = -7x + 7x + 3x2 + -3x2 Combine like terms: -7x + 7x = 0 40 + -5X + 7x + 3xX + -3x2 = 0 + 3x2 + -3x2 40 + -5X + 7x + 3xX + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 40 + -5X + 7x + 3xX + -3x2 = 0 The solution to this equation could not be determined.
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