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Simplifying X(2x + -3) + x(3x + -5) = (5x + 8)(x + -3) Reorder the terms: X(-3 + 2x) + x(3x + -5) = (5x + 8)(x + -3) (-3 * X + 2x * X) + x(3x + -5) = (5x + 8)(x + -3) (-3X + 2xX) + x(3x + -5) = (5x + 8)(x + -3) Reorder the terms: -3X + 2xX + x(-5 + 3x) = (5x + 8)(x + -3) -3X + 2xX + (-5 * x + 3x * x) = (5x + 8)(x + -3) -3X + 2xX + (-5x + 3x2) = (5x + 8)(x + -3) Reorder the terms: -3X + -5x + 2xX + 3x2 = (5x + 8)(x + -3) Reorder the terms: -3X + -5x + 2xX + 3x2 = (8 + 5x)(x + -3) Reorder the terms: -3X + -5x + 2xX + 3x2 = (8 + 5x)(-3 + x) Multiply (8 + 5x) * (-3 + x) -3X + -5x + 2xX + 3x2 = (8(-3 + x) + 5x * (-3 + x)) -3X + -5x + 2xX + 3x2 = ((-3 * 8 + x * 8) + 5x * (-3 + x)) -3X + -5x + 2xX + 3x2 = ((-24 + 8x) + 5x * (-3 + x)) -3X + -5x + 2xX + 3x2 = (-24 + 8x + (-3 * 5x + x * 5x)) -3X + -5x + 2xX + 3x2 = (-24 + 8x + (-15x + 5x2)) Combine like terms: 8x + -15x = -7x -3X + -5x + 2xX + 3x2 = (-24 + -7x + 5x2) Solving -3X + -5x + 2xX + 3x2 = -24 + -7x + 5x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5x' to each side of the equation. -3X + -5x + 2xX + 5x + 3x2 = -24 + -7x + 5x + 5x2 Reorder the terms: -3X + -5x + 5x + 2xX + 3x2 = -24 + -7x + 5x + 5x2 Combine like terms: -5x + 5x = 0 -3X + 0 + 2xX + 3x2 = -24 + -7x + 5x + 5x2 -3X + 2xX + 3x2 = -24 + -7x + 5x + 5x2 Combine like terms: -7x + 5x = -2x -3X + 2xX + 3x2 = -24 + -2x + 5x2 Add '-3x2' to each side of the equation. -3X + 2xX + 3x2 + -3x2 = -24 + -2x + 5x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3X + 2xX + 0 = -24 + -2x + 5x2 + -3x2 -3X + 2xX = -24 + -2x + 5x2 + -3x2 Combine like terms: 5x2 + -3x2 = 2x2 -3X + 2xX = -24 + -2x + 2x2 Reorder the terms: 24 + -3X + 2x + 2xX + -2x2 = -24 + -2x + 2x2 + 24 + 2x + -2x2 Reorder the terms: 24 + -3X + 2x + 2xX + -2x2 = -24 + 24 + -2x + 2x + 2x2 + -2x2 Combine like terms: -24 + 24 = 0 24 + -3X + 2x + 2xX + -2x2 = 0 + -2x + 2x + 2x2 + -2x2 24 + -3X + 2x + 2xX + -2x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 24 + -3X + 2x + 2xX + -2x2 = 0 + 2x2 + -2x2 24 + -3X + 2x + 2xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 24 + -3X + 2x + 2xX + -2x2 = 0 The solution to this equation could not be determined.
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