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Simplifying (3x + -1y)(9x2 + 3xy + y2) = 0 Reorder the terms: (3x + -1y)(3xy + 9x2 + y2) = 0 Multiply (3x + -1y) * (3xy + 9x2 + y2) (3x * (3xy + 9x2 + y2) + -1y * (3xy + 9x2 + y2)) = 0 ((3xy * 3x + 9x2 * 3x + y2 * 3x) + -1y * (3xy + 9x2 + y2)) = 0 Reorder the terms: ((3xy2 + 9x2y + 27x3) + -1y * (3xy + 9x2 + y2)) = 0 ((3xy2 + 9x2y + 27x3) + -1y * (3xy + 9x2 + y2)) = 0 (3xy2 + 9x2y + 27x3 + (3xy * -1y + 9x2 * -1y + y2 * -1y)) = 0 (3xy2 + 9x2y + 27x3 + (-3xy2 + -9x2y + -1y3)) = 0 Reorder the terms: (3xy2 + -3xy2 + 9x2y + -9x2y + 27x3 + -1y3) = 0 Combine like terms: 3xy2 + -3xy2 = 0 (0 + 9x2y + -9x2y + 27x3 + -1y3) = 0 (9x2y + -9x2y + 27x3 + -1y3) = 0 Combine like terms: 9x2y + -9x2y = 0 (0 + 27x3 + -1y3) = 0 (27x3 + -1y3) = 0 Solving 27x3 + -1y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y3' to each side of the equation. 27x3 + -1y3 + y3 = 0 + y3 Combine like terms: -1y3 + y3 = 0 27x3 + 0 = 0 + y3 27x3 = 0 + y3 Remove the zero: 27x3 = y3 Divide each side by '27'. x3 = 0.03703703704y3 Simplifying x3 = 0.03703703704y3 Combine like terms: 0.03703703704y3 + -0.03703703704y3 = 0.00000000000 x3 + -0.03703703704y3 = 0.00000000000 The solution to this equation could not be determined.
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