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Simplifying (7xy + -6x * -6x + 5y * 5y) + -1(4y * 4y * 4y + -6x * -6x + -5xy) = 0 Reorder the terms for easier multiplication: (7xy + -6 * -6x * x + 5y * 5y) + -1(4y * 4y * 4y + -6x * -6x + -5xy) = 0 Multiply -6 * -6 (7xy + 36x * x + 5y * 5y) + -1(4y * 4y * 4y + -6x * -6x + -5xy) = 0 Multiply x * x (7xy + 36x2 + 5y * 5y) + -1(4y * 4y * 4y + -6x * -6x + -5xy) = 0 Reorder the terms for easier multiplication: (7xy + 36x2 + 5 * 5y * y) + -1(4y * 4y * 4y + -6x * -6x + -5xy) = 0 Multiply 5 * 5 (7xy + 36x2 + 25y * y) + -1(4y * 4y * 4y + -6x * -6x + -5xy) = 0 Multiply y * y (7xy + 36x2 + 25y2) + -1(4y * 4y * 4y + -6x * -6x + -5xy) = 0 Remove parenthesis around (7xy + 36x2 + 25y2) 7xy + 36x2 + 25y2 + -1(4y * 4y * 4y + -6x * -6x + -5xy) = 0 Reorder the terms for easier multiplication: 7xy + 36x2 + 25y2 + -1(4 * 4 * 4y * y * y + -6x * -6x + -5xy) = 0 Multiply 4 * 4 7xy + 36x2 + 25y2 + -1(16 * 4y * y * y + -6x * -6x + -5xy) = 0 Multiply 16 * 4 7xy + 36x2 + 25y2 + -1(64y * y * y + -6x * -6x + -5xy) = 0 Multiply y * y 7xy + 36x2 + 25y2 + -1(64y2 * y + -6x * -6x + -5xy) = 0 Multiply y2 * y 7xy + 36x2 + 25y2 + -1(64y3 + -6x * -6x + -5xy) = 0 Reorder the terms for easier multiplication: 7xy + 36x2 + 25y2 + -1(64y3 + -6 * -6x * x + -5xy) = 0 Multiply -6 * -6 7xy + 36x2 + 25y2 + -1(64y3 + 36x * x + -5xy) = 0 Multiply x * x 7xy + 36x2 + 25y2 + -1(64y3 + 36x2 + -5xy) = 0 Reorder the terms: 7xy + 36x2 + 25y2 + -1(-5xy + 36x2 + 64y3) = 0 7xy + 36x2 + 25y2 + (-5xy * -1 + 36x2 * -1 + 64y3 * -1) = 0 7xy + 36x2 + 25y2 + (5xy + -36x2 + -64y3) = 0 Reorder the terms: 7xy + 5xy + 36x2 + -36x2 + 25y2 + -64y3 = 0 Combine like terms: 7xy + 5xy = 12xy 12xy + 36x2 + -36x2 + 25y2 + -64y3 = 0 Combine like terms: 36x2 + -36x2 = 0 12xy + 0 + 25y2 + -64y3 = 0 12xy + 25y2 + -64y3 = 0 Solving 12xy + 25y2 + -64y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25y2' to each side of the equation. 12xy + 25y2 + -25y2 + -64y3 = 0 + -25y2 Combine like terms: 25y2 + -25y2 = 0 12xy + 0 + -64y3 = 0 + -25y2 12xy + -64y3 = 0 + -25y2 Remove the zero: 12xy + -64y3 = -25y2 Add '64y3' to each side of the equation. 12xy + -64y3 + 64y3 = -25y2 + 64y3 Combine like terms: -64y3 + 64y3 = 0 12xy + 0 = -25y2 + 64y3 12xy = -25y2 + 64y3 Divide each side by '12y'. x = -2.083333333y + 5.333333333y2 Simplifying x = -2.083333333y + 5.333333333y2
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