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Simplifying (X + -6)(x2 + 4x + 4) = 0 Reorder the terms: (-6 + X)(x2 + 4x + 4) = 0 Reorder the terms: (-6 + X)(4 + 4x + x2) = 0 Multiply (-6 + X) * (4 + 4x + x2) (-6(4 + 4x + x2) + X(4 + 4x + x2)) = 0 ((4 * -6 + 4x * -6 + x2 * -6) + X(4 + 4x + x2)) = 0 ((-24 + -24x + -6x2) + X(4 + 4x + x2)) = 0 (-24 + -24x + -6x2 + (4 * X + 4x * X + x2 * X)) = 0 (-24 + -24x + -6x2 + (4X + 4xX + x2X)) = 0 Reorder the terms: (-24 + 4X + -24x + 4xX + -6x2 + x2X) = 0 (-24 + 4X + -24x + 4xX + -6x2 + x2X) = 0 Solving -24 + 4X + -24x + 4xX + -6x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 4X + -24x + 4xX + -6x2 + 24 + x2X = 0 + 24 Reorder the terms: -24 + 24 + 4X + -24x + 4xX + -6x2 + x2X = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4X + -24x + 4xX + -6x2 + x2X = 0 + 24 4X + -24x + 4xX + -6x2 + x2X = 0 + 24 Combine like terms: 0 + 24 = 24 4X + -24x + 4xX + -6x2 + x2X = 24 Add '24x' to each side of the equation. 4X + -24x + 4xX + -6x2 + 24x + x2X = 24 + 24x Reorder the terms: 4X + -24x + 24x + 4xX + -6x2 + x2X = 24 + 24x Combine like terms: -24x + 24x = 0 4X + 0 + 4xX + -6x2 + x2X = 24 + 24x 4X + 4xX + -6x2 + x2X = 24 + 24x Add '6x2' to each side of the equation. 4X + 4xX + -6x2 + 6x2 + x2X = 24 + 24x + 6x2 Combine like terms: -6x2 + 6x2 = 0 4X + 4xX + 0 + x2X = 24 + 24x + 6x2 4X + 4xX + x2X = 24 + 24x + 6x2 Reorder the terms: -24 + 4X + -24x + 4xX + -6x2 + x2X = 24 + 24x + 6x2 + -24 + -24x + -6x2 Reorder the terms: -24 + 4X + -24x + 4xX + -6x2 + x2X = 24 + -24 + 24x + -24x + 6x2 + -6x2 Combine like terms: 24 + -24 = 0 -24 + 4X + -24x + 4xX + -6x2 + x2X = 0 + 24x + -24x + 6x2 + -6x2 -24 + 4X + -24x + 4xX + -6x2 + x2X = 24x + -24x + 6x2 + -6x2 Combine like terms: 24x + -24x = 0 -24 + 4X + -24x + 4xX + -6x2 + x2X = 0 + 6x2 + -6x2 -24 + 4X + -24x + 4xX + -6x2 + x2X = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -24 + 4X + -24x + 4xX + -6x2 + x2X = 0 The solution to this equation could not be determined.
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