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Simplifying (3x2 + -1y2)(9x4 + 3x2y2 + y4) = 0 Reorder the terms: (3x2 + -1y2)(3x2y2 + 9x4 + y4) = 0 Multiply (3x2 + -1y2) * (3x2y2 + 9x4 + y4) (3x2 * (3x2y2 + 9x4 + y4) + -1y2 * (3x2y2 + 9x4 + y4)) = 0 ((3x2y2 * 3x2 + 9x4 * 3x2 + y4 * 3x2) + -1y2 * (3x2y2 + 9x4 + y4)) = 0 Reorder the terms: ((3x2y4 + 9x4y2 + 27x6) + -1y2 * (3x2y2 + 9x4 + y4)) = 0 ((3x2y4 + 9x4y2 + 27x6) + -1y2 * (3x2y2 + 9x4 + y4)) = 0 (3x2y4 + 9x4y2 + 27x6 + (3x2y2 * -1y2 + 9x4 * -1y2 + y4 * -1y2)) = 0 (3x2y4 + 9x4y2 + 27x6 + (-3x2y4 + -9x4y2 + -1y6)) = 0 Reorder the terms: (3x2y4 + -3x2y4 + 9x4y2 + -9x4y2 + 27x6 + -1y6) = 0 Combine like terms: 3x2y4 + -3x2y4 = 0 (0 + 9x4y2 + -9x4y2 + 27x6 + -1y6) = 0 (9x4y2 + -9x4y2 + 27x6 + -1y6) = 0 Combine like terms: 9x4y2 + -9x4y2 = 0 (0 + 27x6 + -1y6) = 0 (27x6 + -1y6) = 0 Solving 27x6 + -1y6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y6' to each side of the equation. 27x6 + -1y6 + y6 = 0 + y6 Combine like terms: -1y6 + y6 = 0 27x6 + 0 = 0 + y6 27x6 = 0 + y6 Remove the zero: 27x6 = y6 Divide each side by '27'. x6 = 0.03703703704y6 Simplifying x6 = 0.03703703704y6 Combine like terms: 0.03703703704y6 + -0.03703703704y6 = 0.00000000000 x6 + -0.03703703704y6 = 0.00000000000 The solution to this equation could not be determined.
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