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Simplifying (X + 4)(x2 + -1x + 7) = 0 Reorder the terms: (4 + X)(x2 + -1x + 7) = 0 Reorder the terms: (4 + X)(7 + -1x + x2) = 0 Multiply (4 + X) * (7 + -1x + x2) (4(7 + -1x + x2) + X(7 + -1x + x2)) = 0 ((7 * 4 + -1x * 4 + x2 * 4) + X(7 + -1x + x2)) = 0 ((28 + -4x + 4x2) + X(7 + -1x + x2)) = 0 (28 + -4x + 4x2 + (7 * X + -1x * X + x2 * X)) = 0 (28 + -4x + 4x2 + (7X + -1xX + x2X)) = 0 Reorder the terms: (28 + 7X + -4x + -1xX + 4x2 + x2X) = 0 (28 + 7X + -4x + -1xX + 4x2 + x2X) = 0 Solving 28 + 7X + -4x + -1xX + 4x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 7X + -4x + -1xX + 4x2 + -28 + x2X = 0 + -28 Reorder the terms: 28 + -28 + 7X + -4x + -1xX + 4x2 + x2X = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 7X + -4x + -1xX + 4x2 + x2X = 0 + -28 7X + -4x + -1xX + 4x2 + x2X = 0 + -28 Combine like terms: 0 + -28 = -28 7X + -4x + -1xX + 4x2 + x2X = -28 Add '4x' to each side of the equation. 7X + -4x + -1xX + 4x2 + 4x + x2X = -28 + 4x Reorder the terms: 7X + -4x + 4x + -1xX + 4x2 + x2X = -28 + 4x Combine like terms: -4x + 4x = 0 7X + 0 + -1xX + 4x2 + x2X = -28 + 4x 7X + -1xX + 4x2 + x2X = -28 + 4x Add '-4x2' to each side of the equation. 7X + -1xX + 4x2 + -4x2 + x2X = -28 + 4x + -4x2 Combine like terms: 4x2 + -4x2 = 0 7X + -1xX + 0 + x2X = -28 + 4x + -4x2 7X + -1xX + x2X = -28 + 4x + -4x2 Reorder the terms: 28 + 7X + -4x + -1xX + 4x2 + x2X = -28 + 4x + -4x2 + 28 + -4x + 4x2 Reorder the terms: 28 + 7X + -4x + -1xX + 4x2 + x2X = -28 + 28 + 4x + -4x + -4x2 + 4x2 Combine like terms: -28 + 28 = 0 28 + 7X + -4x + -1xX + 4x2 + x2X = 0 + 4x + -4x + -4x2 + 4x2 28 + 7X + -4x + -1xX + 4x2 + x2X = 4x + -4x + -4x2 + 4x2 Combine like terms: 4x + -4x = 0 28 + 7X + -4x + -1xX + 4x2 + x2X = 0 + -4x2 + 4x2 28 + 7X + -4x + -1xX + 4x2 + x2X = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 28 + 7X + -4x + -1xX + 4x2 + x2X = 0 The solution to this equation could not be determined.
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