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Simplifying (-3x + 3y)(9x2 + 9xy + 9y2) = 0 Reorder the terms: (-3x + 3y)(9xy + 9x2 + 9y2) = 0 Multiply (-3x + 3y) * (9xy + 9x2 + 9y2) (-3x * (9xy + 9x2 + 9y2) + 3y * (9xy + 9x2 + 9y2)) = 0 ((9xy * -3x + 9x2 * -3x + 9y2 * -3x) + 3y * (9xy + 9x2 + 9y2)) = 0 Reorder the terms: ((-27xy2 + -27x2y + -27x3) + 3y * (9xy + 9x2 + 9y2)) = 0 ((-27xy2 + -27x2y + -27x3) + 3y * (9xy + 9x2 + 9y2)) = 0 (-27xy2 + -27x2y + -27x3 + (9xy * 3y + 9x2 * 3y + 9y2 * 3y)) = 0 (-27xy2 + -27x2y + -27x3 + (27xy2 + 27x2y + 27y3)) = 0 Reorder the terms: (-27xy2 + 27xy2 + -27x2y + 27x2y + -27x3 + 27y3) = 0 Combine like terms: -27xy2 + 27xy2 = 0 (0 + -27x2y + 27x2y + -27x3 + 27y3) = 0 (-27x2y + 27x2y + -27x3 + 27y3) = 0 Combine like terms: -27x2y + 27x2y = 0 (0 + -27x3 + 27y3) = 0 (-27x3 + 27y3) = 0 Solving -27x3 + 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. -27x3 + 27y3 + -27y3 = 0 + -27y3 Combine like terms: 27y3 + -27y3 = 0 -27x3 + 0 = 0 + -27y3 -27x3 = 0 + -27y3 Remove the zero: -27x3 = -27y3 Divide each side by '-27'. x3 = y3 Simplifying x3 = y3 Combine like terms: y3 + -1y3 = 0 x3 + -1y3 = 0 The solution to this equation could not be determined.
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