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Simplifying (X + 6)(7x2 + 3x + 8) = 0 Reorder the terms: (6 + X)(7x2 + 3x + 8) = 0 Reorder the terms: (6 + X)(8 + 3x + 7x2) = 0 Multiply (6 + X) * (8 + 3x + 7x2) (6(8 + 3x + 7x2) + X(8 + 3x + 7x2)) = 0 ((8 * 6 + 3x * 6 + 7x2 * 6) + X(8 + 3x + 7x2)) = 0 ((48 + 18x + 42x2) + X(8 + 3x + 7x2)) = 0 (48 + 18x + 42x2 + (8 * X + 3x * X + 7x2 * X)) = 0 (48 + 18x + 42x2 + (8X + 3xX + 7x2X)) = 0 Reorder the terms: (48 + 8X + 18x + 3xX + 42x2 + 7x2X) = 0 (48 + 8X + 18x + 3xX + 42x2 + 7x2X) = 0 Solving 48 + 8X + 18x + 3xX + 42x2 + 7x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 8X + 18x + 3xX + 42x2 + -48 + 7x2X = 0 + -48 Reorder the terms: 48 + -48 + 8X + 18x + 3xX + 42x2 + 7x2X = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8X + 18x + 3xX + 42x2 + 7x2X = 0 + -48 8X + 18x + 3xX + 42x2 + 7x2X = 0 + -48 Combine like terms: 0 + -48 = -48 8X + 18x + 3xX + 42x2 + 7x2X = -48 Add '-18x' to each side of the equation. 8X + 18x + 3xX + 42x2 + -18x + 7x2X = -48 + -18x Reorder the terms: 8X + 18x + -18x + 3xX + 42x2 + 7x2X = -48 + -18x Combine like terms: 18x + -18x = 0 8X + 0 + 3xX + 42x2 + 7x2X = -48 + -18x 8X + 3xX + 42x2 + 7x2X = -48 + -18x Add '-42x2' to each side of the equation. 8X + 3xX + 42x2 + -42x2 + 7x2X = -48 + -18x + -42x2 Combine like terms: 42x2 + -42x2 = 0 8X + 3xX + 0 + 7x2X = -48 + -18x + -42x2 8X + 3xX + 7x2X = -48 + -18x + -42x2 Reorder the terms: 48 + 8X + 18x + 3xX + 42x2 + 7x2X = -48 + -18x + -42x2 + 48 + 18x + 42x2 Reorder the terms: 48 + 8X + 18x + 3xX + 42x2 + 7x2X = -48 + 48 + -18x + 18x + -42x2 + 42x2 Combine like terms: -48 + 48 = 0 48 + 8X + 18x + 3xX + 42x2 + 7x2X = 0 + -18x + 18x + -42x2 + 42x2 48 + 8X + 18x + 3xX + 42x2 + 7x2X = -18x + 18x + -42x2 + 42x2 Combine like terms: -18x + 18x = 0 48 + 8X + 18x + 3xX + 42x2 + 7x2X = 0 + -42x2 + 42x2 48 + 8X + 18x + 3xX + 42x2 + 7x2X = -42x2 + 42x2 Combine like terms: -42x2 + 42x2 = 0 48 + 8X + 18x + 3xX + 42x2 + 7x2X = 0 The solution to this equation could not be determined.
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