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Simplifying (X + 2)(x + -3) = (x + -3)(x + -3) Reorder the terms: (2 + X)(x + -3) = (x + -3)(x + -3) Reorder the terms: (2 + X)(-3 + x) = (x + -3)(x + -3) Multiply (2 + X) * (-3 + x) (2(-3 + x) + X(-3 + x)) = (x + -3)(x + -3) ((-3 * 2 + x * 2) + X(-3 + x)) = (x + -3)(x + -3) ((-6 + 2x) + X(-3 + x)) = (x + -3)(x + -3) (-6 + 2x + (-3 * X + x * X)) = (x + -3)(x + -3) (-6 + 2x + (-3X + xX)) = (x + -3)(x + -3) Reorder the terms: (-6 + -3X + 2x + xX) = (x + -3)(x + -3) (-6 + -3X + 2x + xX) = (x + -3)(x + -3) Reorder the terms: -6 + -3X + 2x + xX = (-3 + x)(x + -3) Reorder the terms: -6 + -3X + 2x + xX = (-3 + x)(-3 + x) Multiply (-3 + x) * (-3 + x) -6 + -3X + 2x + xX = (-3(-3 + x) + x(-3 + x)) -6 + -3X + 2x + xX = ((-3 * -3 + x * -3) + x(-3 + x)) -6 + -3X + 2x + xX = ((9 + -3x) + x(-3 + x)) -6 + -3X + 2x + xX = (9 + -3x + (-3 * x + x * x)) -6 + -3X + 2x + xX = (9 + -3x + (-3x + x2)) Combine like terms: -3x + -3x = -6x -6 + -3X + 2x + xX = (9 + -6x + x2) Solving -6 + -3X + 2x + xX = 9 + -6x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3X + 2x + 6 + xX = 9 + -6x + 6 + x2 Reorder the terms: -6 + 6 + -3X + 2x + xX = 9 + -6x + 6 + x2 Combine like terms: -6 + 6 = 0 0 + -3X + 2x + xX = 9 + -6x + 6 + x2 -3X + 2x + xX = 9 + -6x + 6 + x2 Reorder the terms: -3X + 2x + xX = 9 + 6 + -6x + x2 Combine like terms: 9 + 6 = 15 -3X + 2x + xX = 15 + -6x + x2 Add '-2x' to each side of the equation. -3X + 2x + -2x + xX = 15 + -6x + -2x + x2 Combine like terms: 2x + -2x = 0 -3X + 0 + xX = 15 + -6x + -2x + x2 -3X + xX = 15 + -6x + -2x + x2 Combine like terms: -6x + -2x = -8x -3X + xX = 15 + -8x + x2 Reorder the terms: -15 + -3X + 8x + xX + -1x2 = 15 + -8x + x2 + -15 + 8x + -1x2 Reorder the terms: -15 + -3X + 8x + xX + -1x2 = 15 + -15 + -8x + 8x + x2 + -1x2 Combine like terms: 15 + -15 = 0 -15 + -3X + 8x + xX + -1x2 = 0 + -8x + 8x + x2 + -1x2 -15 + -3X + 8x + xX + -1x2 = -8x + 8x + x2 + -1x2 Combine like terms: -8x + 8x = 0 -15 + -3X + 8x + xX + -1x2 = 0 + x2 + -1x2 -15 + -3X + 8x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + -3X + 8x + xX + -1x2 = 0 The solution to this equation could not be determined.
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