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Simplifying -1(6(5xy + y3) + 5(9xy + 7y3)) = 0 -1((5xy * 6 + y3 * 6) + 5(9xy + 7y3)) = 0 -1((30xy + 6y3) + 5(9xy + 7y3)) = 0 -1(30xy + 6y3 + (9xy * 5 + 7y3 * 5)) = 0 -1(30xy + 6y3 + (45xy + 35y3)) = 0 Reorder the terms: -1(30xy + 45xy + 6y3 + 35y3) = 0 Combine like terms: 30xy + 45xy = 75xy -1(75xy + 6y3 + 35y3) = 0 Combine like terms: 6y3 + 35y3 = 41y3 -1(75xy + 41y3) = 0 (75xy * -1 + 41y3 * -1) = 0 (-75xy + -41y3) = 0 Solving -75xy + -41y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41y3' to each side of the equation. -75xy + -41y3 + 41y3 = 0 + 41y3 Combine like terms: -41y3 + 41y3 = 0 -75xy + 0 = 0 + 41y3 -75xy = 0 + 41y3 Remove the zero: -75xy = 41y3 Divide each side by '-75y'. x = -0.5466666667y2 Simplifying x = -0.5466666667y2
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