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Simplifying (2x + 3y)(4x2 + -6xy + 9y2 + -3) = 0 Reorder the terms: (2x + 3y)(-3 + -6xy + 4x2 + 9y2) = 0 Multiply (2x + 3y) * (-3 + -6xy + 4x2 + 9y2) (2x * (-3 + -6xy + 4x2 + 9y2) + 3y * (-3 + -6xy + 4x2 + 9y2)) = 0 ((-3 * 2x + -6xy * 2x + 4x2 * 2x + 9y2 * 2x) + 3y * (-3 + -6xy + 4x2 + 9y2)) = 0 Reorder the terms: ((-6x + 18xy2 + -12x2y + 8x3) + 3y * (-3 + -6xy + 4x2 + 9y2)) = 0 ((-6x + 18xy2 + -12x2y + 8x3) + 3y * (-3 + -6xy + 4x2 + 9y2)) = 0 (-6x + 18xy2 + -12x2y + 8x3 + (-3 * 3y + -6xy * 3y + 4x2 * 3y + 9y2 * 3y)) = 0 Reorder the terms: (-6x + 18xy2 + -12x2y + 8x3 + (-18xy2 + 12x2y + -9y + 27y3)) = 0 (-6x + 18xy2 + -12x2y + 8x3 + (-18xy2 + 12x2y + -9y + 27y3)) = 0 Reorder the terms: (-6x + 18xy2 + -18xy2 + -12x2y + 12x2y + 8x3 + -9y + 27y3) = 0 Combine like terms: 18xy2 + -18xy2 = 0 (-6x + 0 + -12x2y + 12x2y + 8x3 + -9y + 27y3) = 0 (-6x + -12x2y + 12x2y + 8x3 + -9y + 27y3) = 0 Combine like terms: -12x2y + 12x2y = 0 (-6x + 0 + 8x3 + -9y + 27y3) = 0 (-6x + 8x3 + -9y + 27y3) = 0 Solving -6x + 8x3 + -9y + 27y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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