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Simplifying (X2 + -3x + -10)(x2 + -3x + -8) = 0 Reorder the terms: (-10 + X2 + -3x)(x2 + -3x + -8) = 0 Reorder the terms: (-10 + X2 + -3x)(-8 + -3x + x2) = 0 Multiply (-10 + X2 + -3x) * (-8 + -3x + x2) (-10(-8 + -3x + x2) + X2(-8 + -3x + x2) + -3x * (-8 + -3x + x2)) = 0 ((-8 * -10 + -3x * -10 + x2 * -10) + X2(-8 + -3x + x2) + -3x * (-8 + -3x + x2)) = 0 ((80 + 30x + -10x2) + X2(-8 + -3x + x2) + -3x * (-8 + -3x + x2)) = 0 (80 + 30x + -10x2 + (-8 * X2 + -3x * X2 + x2 * X2) + -3x * (-8 + -3x + x2)) = 0 (80 + 30x + -10x2 + (-8X2 + -3xX2 + x2X2) + -3x * (-8 + -3x + x2)) = 0 (80 + 30x + -10x2 + -8X2 + -3xX2 + x2X2 + (-8 * -3x + -3x * -3x + x2 * -3x)) = 0 (80 + 30x + -10x2 + -8X2 + -3xX2 + x2X2 + (24x + 9x2 + -3x3)) = 0 Reorder the terms: (80 + -8X2 + 30x + 24x + -3xX2 + -10x2 + 9x2 + x2X2 + -3x3) = 0 Combine like terms: 30x + 24x = 54x (80 + -8X2 + 54x + -3xX2 + -10x2 + 9x2 + x2X2 + -3x3) = 0 Combine like terms: -10x2 + 9x2 = -1x2 (80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3) = 0 Solving 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -80 + -3x3 = 0 + -80 Reorder the terms: 80 + -80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 0 + -80 -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 0 + -80 Combine like terms: 0 + -80 = -80 -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = -80 Add '-54x' to each side of the equation. -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -54x + -3x3 = -80 + -54x Reorder the terms: -8X2 + 54x + -54x + -3xX2 + -1x2 + x2X2 + -3x3 = -80 + -54x Combine like terms: 54x + -54x = 0 -8X2 + 0 + -3xX2 + -1x2 + x2X2 + -3x3 = -80 + -54x -8X2 + -3xX2 + -1x2 + x2X2 + -3x3 = -80 + -54x Add 'x2' to each side of the equation. -8X2 + -3xX2 + -1x2 + x2X2 + x2 + -3x3 = -80 + -54x + x2 Reorder the terms: -8X2 + -3xX2 + -1x2 + x2 + x2X2 + -3x3 = -80 + -54x + x2 Combine like terms: -1x2 + x2 = 0 -8X2 + -3xX2 + 0 + x2X2 + -3x3 = -80 + -54x + x2 -8X2 + -3xX2 + x2X2 + -3x3 = -80 + -54x + x2 Add '3x3' to each side of the equation. -8X2 + -3xX2 + x2X2 + -3x3 + 3x3 = -80 + -54x + x2 + 3x3 Combine like terms: -3x3 + 3x3 = 0 -8X2 + -3xX2 + x2X2 + 0 = -80 + -54x + x2 + 3x3 -8X2 + -3xX2 + x2X2 = -80 + -54x + x2 + 3x3 Reorder the terms: 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = -80 + -54x + x2 + 3x3 + 80 + 54x + -1x2 + -3x3 Reorder the terms: 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = -80 + 80 + -54x + 54x + x2 + -1x2 + 3x3 + -3x3 Combine like terms: -80 + 80 = 0 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 0 + -54x + 54x + x2 + -1x2 + 3x3 + -3x3 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = -54x + 54x + x2 + -1x2 + 3x3 + -3x3 Combine like terms: -54x + 54x = 0 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 0 + x2 + -1x2 + 3x3 + -3x3 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = x2 + -1x2 + 3x3 + -3x3 Combine like terms: x2 + -1x2 = 0 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 0 + 3x3 + -3x3 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 80 + -8X2 + 54x + -3xX2 + -1x2 + x2X2 + -3x3 = 0 The solution to this equation could not be determined.
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