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Simplifying (X2 + -4x + 4)(x2 + -6x + -8) = 0 Reorder the terms: (4 + X2 + -4x)(x2 + -6x + -8) = 0 Reorder the terms: (4 + X2 + -4x)(-8 + -6x + x2) = 0 Multiply (4 + X2 + -4x) * (-8 + -6x + x2) (4(-8 + -6x + x2) + X2(-8 + -6x + x2) + -4x * (-8 + -6x + x2)) = 0 ((-8 * 4 + -6x * 4 + x2 * 4) + X2(-8 + -6x + x2) + -4x * (-8 + -6x + x2)) = 0 ((-32 + -24x + 4x2) + X2(-8 + -6x + x2) + -4x * (-8 + -6x + x2)) = 0 (-32 + -24x + 4x2 + (-8 * X2 + -6x * X2 + x2 * X2) + -4x * (-8 + -6x + x2)) = 0 (-32 + -24x + 4x2 + (-8X2 + -6xX2 + x2X2) + -4x * (-8 + -6x + x2)) = 0 (-32 + -24x + 4x2 + -8X2 + -6xX2 + x2X2 + (-8 * -4x + -6x * -4x + x2 * -4x)) = 0 (-32 + -24x + 4x2 + -8X2 + -6xX2 + x2X2 + (32x + 24x2 + -4x3)) = 0 Reorder the terms: (-32 + -8X2 + -24x + 32x + -6xX2 + 4x2 + 24x2 + x2X2 + -4x3) = 0 Combine like terms: -24x + 32x = 8x (-32 + -8X2 + 8x + -6xX2 + 4x2 + 24x2 + x2X2 + -4x3) = 0 Combine like terms: 4x2 + 24x2 = 28x2 (-32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3) = 0 Solving -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + 32 + -4x3 = 0 + 32 Reorder the terms: -32 + 32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 0 + 32 -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 0 + 32 Combine like terms: 0 + 32 = 32 -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 32 Add '-8x' to each side of the equation. -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -8x + -4x3 = 32 + -8x Reorder the terms: -8X2 + 8x + -8x + -6xX2 + 28x2 + x2X2 + -4x3 = 32 + -8x Combine like terms: 8x + -8x = 0 -8X2 + 0 + -6xX2 + 28x2 + x2X2 + -4x3 = 32 + -8x -8X2 + -6xX2 + 28x2 + x2X2 + -4x3 = 32 + -8x Add '-28x2' to each side of the equation. -8X2 + -6xX2 + 28x2 + x2X2 + -28x2 + -4x3 = 32 + -8x + -28x2 Reorder the terms: -8X2 + -6xX2 + 28x2 + -28x2 + x2X2 + -4x3 = 32 + -8x + -28x2 Combine like terms: 28x2 + -28x2 = 0 -8X2 + -6xX2 + 0 + x2X2 + -4x3 = 32 + -8x + -28x2 -8X2 + -6xX2 + x2X2 + -4x3 = 32 + -8x + -28x2 Add '4x3' to each side of the equation. -8X2 + -6xX2 + x2X2 + -4x3 + 4x3 = 32 + -8x + -28x2 + 4x3 Combine like terms: -4x3 + 4x3 = 0 -8X2 + -6xX2 + x2X2 + 0 = 32 + -8x + -28x2 + 4x3 -8X2 + -6xX2 + x2X2 = 32 + -8x + -28x2 + 4x3 Reorder the terms: -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 32 + -8x + -28x2 + 4x3 + -32 + 8x + 28x2 + -4x3 Reorder the terms: -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 32 + -32 + -8x + 8x + -28x2 + 28x2 + 4x3 + -4x3 Combine like terms: 32 + -32 = 0 -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 0 + -8x + 8x + -28x2 + 28x2 + 4x3 + -4x3 -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = -8x + 8x + -28x2 + 28x2 + 4x3 + -4x3 Combine like terms: -8x + 8x = 0 -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 0 + -28x2 + 28x2 + 4x3 + -4x3 -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = -28x2 + 28x2 + 4x3 + -4x3 Combine like terms: -28x2 + 28x2 = 0 -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 0 + 4x3 + -4x3 -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -32 + -8X2 + 8x + -6xX2 + 28x2 + x2X2 + -4x3 = 0 The solution to this equation could not be determined.
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