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Simplifying (X + -7)(x2 + 7x + -8) = 0 Reorder the terms: (-7 + X)(x2 + 7x + -8) = 0 Reorder the terms: (-7 + X)(-8 + 7x + x2) = 0 Multiply (-7 + X) * (-8 + 7x + x2) (-7(-8 + 7x + x2) + X(-8 + 7x + x2)) = 0 ((-8 * -7 + 7x * -7 + x2 * -7) + X(-8 + 7x + x2)) = 0 ((56 + -49x + -7x2) + X(-8 + 7x + x2)) = 0 (56 + -49x + -7x2 + (-8 * X + 7x * X + x2 * X)) = 0 (56 + -49x + -7x2 + (-8X + 7xX + x2X)) = 0 Reorder the terms: (56 + -8X + -49x + 7xX + -7x2 + x2X) = 0 (56 + -8X + -49x + 7xX + -7x2 + x2X) = 0 Solving 56 + -8X + -49x + 7xX + -7x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -8X + -49x + 7xX + -7x2 + -56 + x2X = 0 + -56 Reorder the terms: 56 + -56 + -8X + -49x + 7xX + -7x2 + x2X = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -8X + -49x + 7xX + -7x2 + x2X = 0 + -56 -8X + -49x + 7xX + -7x2 + x2X = 0 + -56 Combine like terms: 0 + -56 = -56 -8X + -49x + 7xX + -7x2 + x2X = -56 Add '49x' to each side of the equation. -8X + -49x + 7xX + -7x2 + 49x + x2X = -56 + 49x Reorder the terms: -8X + -49x + 49x + 7xX + -7x2 + x2X = -56 + 49x Combine like terms: -49x + 49x = 0 -8X + 0 + 7xX + -7x2 + x2X = -56 + 49x -8X + 7xX + -7x2 + x2X = -56 + 49x Add '7x2' to each side of the equation. -8X + 7xX + -7x2 + 7x2 + x2X = -56 + 49x + 7x2 Combine like terms: -7x2 + 7x2 = 0 -8X + 7xX + 0 + x2X = -56 + 49x + 7x2 -8X + 7xX + x2X = -56 + 49x + 7x2 Reorder the terms: 56 + -8X + -49x + 7xX + -7x2 + x2X = -56 + 49x + 7x2 + 56 + -49x + -7x2 Reorder the terms: 56 + -8X + -49x + 7xX + -7x2 + x2X = -56 + 56 + 49x + -49x + 7x2 + -7x2 Combine like terms: -56 + 56 = 0 56 + -8X + -49x + 7xX + -7x2 + x2X = 0 + 49x + -49x + 7x2 + -7x2 56 + -8X + -49x + 7xX + -7x2 + x2X = 49x + -49x + 7x2 + -7x2 Combine like terms: 49x + -49x = 0 56 + -8X + -49x + 7xX + -7x2 + x2X = 0 + 7x2 + -7x2 56 + -8X + -49x + 7xX + -7x2 + x2X = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 56 + -8X + -49x + 7xX + -7x2 + x2X = 0 The solution to this equation could not be determined.
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