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Simplifying (3x + -4y2)(9x2 + 12xy2 + 16y4) = 0 Reorder the terms: (3x + -4y2)(12xy2 + 9x2 + 16y4) = 0 Multiply (3x + -4y2) * (12xy2 + 9x2 + 16y4) (3x * (12xy2 + 9x2 + 16y4) + -4y2 * (12xy2 + 9x2 + 16y4)) = 0 ((12xy2 * 3x + 9x2 * 3x + 16y4 * 3x) + -4y2 * (12xy2 + 9x2 + 16y4)) = 0 Reorder the terms: ((48xy4 + 36x2y2 + 27x3) + -4y2 * (12xy2 + 9x2 + 16y4)) = 0 ((48xy4 + 36x2y2 + 27x3) + -4y2 * (12xy2 + 9x2 + 16y4)) = 0 (48xy4 + 36x2y2 + 27x3 + (12xy2 * -4y2 + 9x2 * -4y2 + 16y4 * -4y2)) = 0 (48xy4 + 36x2y2 + 27x3 + (-48xy4 + -36x2y2 + -64y6)) = 0 Reorder the terms: (48xy4 + -48xy4 + 36x2y2 + -36x2y2 + 27x3 + -64y6) = 0 Combine like terms: 48xy4 + -48xy4 = 0 (0 + 36x2y2 + -36x2y2 + 27x3 + -64y6) = 0 (36x2y2 + -36x2y2 + 27x3 + -64y6) = 0 Combine like terms: 36x2y2 + -36x2y2 = 0 (0 + 27x3 + -64y6) = 0 (27x3 + -64y6) = 0 Solving 27x3 + -64y6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64y6' to each side of the equation. 27x3 + -64y6 + 64y6 = 0 + 64y6 Combine like terms: -64y6 + 64y6 = 0 27x3 + 0 = 0 + 64y6 27x3 = 0 + 64y6 Remove the zero: 27x3 = 64y6 Divide each side by '27'. x3 = 2.37037037y6 Simplifying x3 = 2.37037037y6 Combine like terms: 2.37037037y6 + -2.37037037y6 = 0.00000000 x3 + -2.37037037y6 = 0.00000000 The solution to this equation could not be determined.
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