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Simplifying (X2 + -3x + 2)(5x2 + -3x + -8) = 0 Reorder the terms: (2 + X2 + -3x)(5x2 + -3x + -8) = 0 Reorder the terms: (2 + X2 + -3x)(-8 + -3x + 5x2) = 0 Multiply (2 + X2 + -3x) * (-8 + -3x + 5x2) (2(-8 + -3x + 5x2) + X2(-8 + -3x + 5x2) + -3x * (-8 + -3x + 5x2)) = 0 ((-8 * 2 + -3x * 2 + 5x2 * 2) + X2(-8 + -3x + 5x2) + -3x * (-8 + -3x + 5x2)) = 0 ((-16 + -6x + 10x2) + X2(-8 + -3x + 5x2) + -3x * (-8 + -3x + 5x2)) = 0 (-16 + -6x + 10x2 + (-8 * X2 + -3x * X2 + 5x2 * X2) + -3x * (-8 + -3x + 5x2)) = 0 (-16 + -6x + 10x2 + (-8X2 + -3xX2 + 5x2X2) + -3x * (-8 + -3x + 5x2)) = 0 (-16 + -6x + 10x2 + -8X2 + -3xX2 + 5x2X2 + (-8 * -3x + -3x * -3x + 5x2 * -3x)) = 0 (-16 + -6x + 10x2 + -8X2 + -3xX2 + 5x2X2 + (24x + 9x2 + -15x3)) = 0 Reorder the terms: (-16 + -8X2 + -6x + 24x + -3xX2 + 10x2 + 9x2 + 5x2X2 + -15x3) = 0 Combine like terms: -6x + 24x = 18x (-16 + -8X2 + 18x + -3xX2 + 10x2 + 9x2 + 5x2X2 + -15x3) = 0 Combine like terms: 10x2 + 9x2 = 19x2 (-16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3) = 0 Solving -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + 16 + -15x3 = 0 + 16 Reorder the terms: -16 + 16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 0 + 16 -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 0 + 16 Combine like terms: 0 + 16 = 16 -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 16 Add '-18x' to each side of the equation. -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -18x + -15x3 = 16 + -18x Reorder the terms: -8X2 + 18x + -18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 16 + -18x Combine like terms: 18x + -18x = 0 -8X2 + 0 + -3xX2 + 19x2 + 5x2X2 + -15x3 = 16 + -18x -8X2 + -3xX2 + 19x2 + 5x2X2 + -15x3 = 16 + -18x Add '-19x2' to each side of the equation. -8X2 + -3xX2 + 19x2 + 5x2X2 + -19x2 + -15x3 = 16 + -18x + -19x2 Reorder the terms: -8X2 + -3xX2 + 19x2 + -19x2 + 5x2X2 + -15x3 = 16 + -18x + -19x2 Combine like terms: 19x2 + -19x2 = 0 -8X2 + -3xX2 + 0 + 5x2X2 + -15x3 = 16 + -18x + -19x2 -8X2 + -3xX2 + 5x2X2 + -15x3 = 16 + -18x + -19x2 Add '15x3' to each side of the equation. -8X2 + -3xX2 + 5x2X2 + -15x3 + 15x3 = 16 + -18x + -19x2 + 15x3 Combine like terms: -15x3 + 15x3 = 0 -8X2 + -3xX2 + 5x2X2 + 0 = 16 + -18x + -19x2 + 15x3 -8X2 + -3xX2 + 5x2X2 = 16 + -18x + -19x2 + 15x3 Reorder the terms: -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 16 + -18x + -19x2 + 15x3 + -16 + 18x + 19x2 + -15x3 Reorder the terms: -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 16 + -16 + -18x + 18x + -19x2 + 19x2 + 15x3 + -15x3 Combine like terms: 16 + -16 = 0 -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 0 + -18x + 18x + -19x2 + 19x2 + 15x3 + -15x3 -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = -18x + 18x + -19x2 + 19x2 + 15x3 + -15x3 Combine like terms: -18x + 18x = 0 -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 0 + -19x2 + 19x2 + 15x3 + -15x3 -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = -19x2 + 19x2 + 15x3 + -15x3 Combine like terms: -19x2 + 19x2 = 0 -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 0 + 15x3 + -15x3 -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 15x3 + -15x3 Combine like terms: 15x3 + -15x3 = 0 -16 + -8X2 + 18x + -3xX2 + 19x2 + 5x2X2 + -15x3 = 0 The solution to this equation could not be determined.
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