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Simplifying 2(4x + 5y) + 3y(4 + 4y) = 0 (4x * 2 + 5y * 2) + 3y(4 + 4y) = 0 (8x + 10y) + 3y(4 + 4y) = 0 8x + 10y + (4 * 3y + 4y * 3y) = 0 8x + 10y + (12y + 12y2) = 0 Combine like terms: 10y + 12y = 22y 8x + 22y + 12y2 = 0 Solving 8x + 22y + 12y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. 8x + 22y + -22y + 12y2 = 0 + -22y Combine like terms: 22y + -22y = 0 8x + 0 + 12y2 = 0 + -22y 8x + 12y2 = 0 + -22y Remove the zero: 8x + 12y2 = -22y Add '-12y2' to each side of the equation. 8x + 12y2 + -12y2 = -22y + -12y2 Combine like terms: 12y2 + -12y2 = 0 8x + 0 = -22y + -12y2 8x = -22y + -12y2 Divide each side by '8'. x = -2.75y + -1.5y2 Simplifying x = -2.75y + -1.5y2
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