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Simplifying 5xy + 3y2 + -13xy + 9y2 + -4 = 0 Reorder the terms: -4 + 5xy + -13xy + 3y2 + 9y2 = 0 Combine like terms: 5xy + -13xy = -8xy -4 + -8xy + 3y2 + 9y2 = 0 Combine like terms: 3y2 + 9y2 = 12y2 -4 + -8xy + 12y2 = 0 Solving -4 + -8xy + 12y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -8xy + 4 + 12y2 = 0 + 4 Reorder the terms: -4 + 4 + -8xy + 12y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -8xy + 12y2 = 0 + 4 -8xy + 12y2 = 0 + 4 Combine like terms: 0 + 4 = 4 -8xy + 12y2 = 4 Add '-12y2' to each side of the equation. -8xy + 12y2 + -12y2 = 4 + -12y2 Combine like terms: 12y2 + -12y2 = 0 -8xy + 0 = 4 + -12y2 -8xy = 4 + -12y2 Divide each side by '-8y'. x = -0.5y-1 + 1.5y Simplifying x = -0.5y-1 + 1.5y
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