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Simplifying (X2 + 5x + -1)(5x2 + -6x + 1) = 0 Reorder the terms: (-1 + X2 + 5x)(5x2 + -6x + 1) = 0 Reorder the terms: (-1 + X2 + 5x)(1 + -6x + 5x2) = 0 Multiply (-1 + X2 + 5x) * (1 + -6x + 5x2) (-1(1 + -6x + 5x2) + X2(1 + -6x + 5x2) + 5x * (1 + -6x + 5x2)) = 0 ((1 * -1 + -6x * -1 + 5x2 * -1) + X2(1 + -6x + 5x2) + 5x * (1 + -6x + 5x2)) = 0 ((-1 + 6x + -5x2) + X2(1 + -6x + 5x2) + 5x * (1 + -6x + 5x2)) = 0 (-1 + 6x + -5x2 + (1 * X2 + -6x * X2 + 5x2 * X2) + 5x * (1 + -6x + 5x2)) = 0 (-1 + 6x + -5x2 + (1X2 + -6xX2 + 5x2X2) + 5x * (1 + -6x + 5x2)) = 0 (-1 + 6x + -5x2 + 1X2 + -6xX2 + 5x2X2 + (1 * 5x + -6x * 5x + 5x2 * 5x)) = 0 (-1 + 6x + -5x2 + 1X2 + -6xX2 + 5x2X2 + (5x + -30x2 + 25x3)) = 0 Reorder the terms: (-1 + 1X2 + 6x + 5x + -6xX2 + -5x2 + -30x2 + 5x2X2 + 25x3) = 0 Combine like terms: 6x + 5x = 11x (-1 + 1X2 + 11x + -6xX2 + -5x2 + -30x2 + 5x2X2 + 25x3) = 0 Combine like terms: -5x2 + -30x2 = -35x2 (-1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3) = 0 Solving -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 1 + 25x3 = 0 + 1 Reorder the terms: -1 + 1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 0 + 1 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 0 + 1 Combine like terms: 0 + 1 = 1 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 1 Add '-11x' to each side of the equation. 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + -11x + 25x3 = 1 + -11x Reorder the terms: 1X2 + 11x + -11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 1 + -11x Combine like terms: 11x + -11x = 0 1X2 + 0 + -6xX2 + -35x2 + 5x2X2 + 25x3 = 1 + -11x 1X2 + -6xX2 + -35x2 + 5x2X2 + 25x3 = 1 + -11x Add '35x2' to each side of the equation. 1X2 + -6xX2 + -35x2 + 5x2X2 + 35x2 + 25x3 = 1 + -11x + 35x2 Reorder the terms: 1X2 + -6xX2 + -35x2 + 35x2 + 5x2X2 + 25x3 = 1 + -11x + 35x2 Combine like terms: -35x2 + 35x2 = 0 1X2 + -6xX2 + 0 + 5x2X2 + 25x3 = 1 + -11x + 35x2 1X2 + -6xX2 + 5x2X2 + 25x3 = 1 + -11x + 35x2 Add '-25x3' to each side of the equation. 1X2 + -6xX2 + 5x2X2 + 25x3 + -25x3 = 1 + -11x + 35x2 + -25x3 Combine like terms: 25x3 + -25x3 = 0 1X2 + -6xX2 + 5x2X2 + 0 = 1 + -11x + 35x2 + -25x3 1X2 + -6xX2 + 5x2X2 = 1 + -11x + 35x2 + -25x3 Reorder the terms: -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 1 + -11x + 35x2 + -25x3 + -1 + 11x + -35x2 + 25x3 Reorder the terms: -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 1 + -1 + -11x + 11x + 35x2 + -35x2 + -25x3 + 25x3 Combine like terms: 1 + -1 = 0 -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 0 + -11x + 11x + 35x2 + -35x2 + -25x3 + 25x3 -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = -11x + 11x + 35x2 + -35x2 + -25x3 + 25x3 Combine like terms: -11x + 11x = 0 -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 0 + 35x2 + -35x2 + -25x3 + 25x3 -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 35x2 + -35x2 + -25x3 + 25x3 Combine like terms: 35x2 + -35x2 = 0 -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 0 + -25x3 + 25x3 -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = -25x3 + 25x3 Combine like terms: -25x3 + 25x3 = 0 -1 + 1X2 + 11x + -6xX2 + -35x2 + 5x2X2 + 25x3 = 0 The solution to this equation could not be determined.
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