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Simplifying (2x + -3y)(4x2 + 6xy + 9y2) = 0 Reorder the terms: (2x + -3y)(6xy + 4x2 + 9y2) = 0 Multiply (2x + -3y) * (6xy + 4x2 + 9y2) (2x * (6xy + 4x2 + 9y2) + -3y * (6xy + 4x2 + 9y2)) = 0 ((6xy * 2x + 4x2 * 2x + 9y2 * 2x) + -3y * (6xy + 4x2 + 9y2)) = 0 Reorder the terms: ((18xy2 + 12x2y + 8x3) + -3y * (6xy + 4x2 + 9y2)) = 0 ((18xy2 + 12x2y + 8x3) + -3y * (6xy + 4x2 + 9y2)) = 0 (18xy2 + 12x2y + 8x3 + (6xy * -3y + 4x2 * -3y + 9y2 * -3y)) = 0 (18xy2 + 12x2y + 8x3 + (-18xy2 + -12x2y + -27y3)) = 0 Reorder the terms: (18xy2 + -18xy2 + 12x2y + -12x2y + 8x3 + -27y3) = 0 Combine like terms: 18xy2 + -18xy2 = 0 (0 + 12x2y + -12x2y + 8x3 + -27y3) = 0 (12x2y + -12x2y + 8x3 + -27y3) = 0 Combine like terms: 12x2y + -12x2y = 0 (0 + 8x3 + -27y3) = 0 (8x3 + -27y3) = 0 Solving 8x3 + -27y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27y3' to each side of the equation. 8x3 + -27y3 + 27y3 = 0 + 27y3 Combine like terms: -27y3 + 27y3 = 0 8x3 + 0 = 0 + 27y3 8x3 = 0 + 27y3 Remove the zero: 8x3 = 27y3 Divide each side by '8'. x3 = 3.375y3 Simplifying x3 = 3.375y3 Combine like terms: 3.375y3 + -3.375y3 = 0.000 x3 + -3.375y3 = 0.000 The solution to this equation could not be determined.
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