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Simplifying (X + -2)(x * x + 4x + 6) = 0 Reorder the terms: (-2 + X)(x * x + 4x + 6) = 0 Multiply x * x (-2 + X)(x2 + 4x + 6) = 0 Reorder the terms: (-2 + X)(6 + 4x + x2) = 0 Multiply (-2 + X) * (6 + 4x + x2) (-2(6 + 4x + x2) + X(6 + 4x + x2)) = 0 ((6 * -2 + 4x * -2 + x2 * -2) + X(6 + 4x + x2)) = 0 ((-12 + -8x + -2x2) + X(6 + 4x + x2)) = 0 (-12 + -8x + -2x2 + (6 * X + 4x * X + x2 * X)) = 0 (-12 + -8x + -2x2 + (6X + 4xX + x2X)) = 0 Reorder the terms: (-12 + 6X + -8x + 4xX + -2x2 + x2X) = 0 (-12 + 6X + -8x + 4xX + -2x2 + x2X) = 0 Solving -12 + 6X + -8x + 4xX + -2x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6X + -8x + 4xX + -2x2 + 12 + x2X = 0 + 12 Reorder the terms: -12 + 12 + 6X + -8x + 4xX + -2x2 + x2X = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6X + -8x + 4xX + -2x2 + x2X = 0 + 12 6X + -8x + 4xX + -2x2 + x2X = 0 + 12 Combine like terms: 0 + 12 = 12 6X + -8x + 4xX + -2x2 + x2X = 12 Add '8x' to each side of the equation. 6X + -8x + 4xX + -2x2 + 8x + x2X = 12 + 8x Reorder the terms: 6X + -8x + 8x + 4xX + -2x2 + x2X = 12 + 8x Combine like terms: -8x + 8x = 0 6X + 0 + 4xX + -2x2 + x2X = 12 + 8x 6X + 4xX + -2x2 + x2X = 12 + 8x Add '2x2' to each side of the equation. 6X + 4xX + -2x2 + 2x2 + x2X = 12 + 8x + 2x2 Combine like terms: -2x2 + 2x2 = 0 6X + 4xX + 0 + x2X = 12 + 8x + 2x2 6X + 4xX + x2X = 12 + 8x + 2x2 Reorder the terms: -12 + 6X + -8x + 4xX + -2x2 + x2X = 12 + 8x + 2x2 + -12 + -8x + -2x2 Reorder the terms: -12 + 6X + -8x + 4xX + -2x2 + x2X = 12 + -12 + 8x + -8x + 2x2 + -2x2 Combine like terms: 12 + -12 = 0 -12 + 6X + -8x + 4xX + -2x2 + x2X = 0 + 8x + -8x + 2x2 + -2x2 -12 + 6X + -8x + 4xX + -2x2 + x2X = 8x + -8x + 2x2 + -2x2 Combine like terms: 8x + -8x = 0 -12 + 6X + -8x + 4xX + -2x2 + x2X = 0 + 2x2 + -2x2 -12 + 6X + -8x + 4xX + -2x2 + x2X = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12 + 6X + -8x + 4xX + -2x2 + x2X = 0 The solution to this equation could not be determined.
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