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Simplifying 5y2 + 5x + 10y + 1 = 0 Reorder the terms: 1 + 5x + 10y + 5y2 = 0 Solving 1 + 5x + 10y + 5y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5x + 10y + -1 + 5y2 = 0 + -1 Reorder the terms: 1 + -1 + 5x + 10y + 5y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x + 10y + 5y2 = 0 + -1 5x + 10y + 5y2 = 0 + -1 Combine like terms: 0 + -1 = -1 5x + 10y + 5y2 = -1 Add '-10y' to each side of the equation. 5x + 10y + -10y + 5y2 = -1 + -10y Combine like terms: 10y + -10y = 0 5x + 0 + 5y2 = -1 + -10y 5x + 5y2 = -1 + -10y Add '-5y2' to each side of the equation. 5x + 5y2 + -5y2 = -1 + -10y + -5y2 Combine like terms: 5y2 + -5y2 = 0 5x + 0 = -1 + -10y + -5y2 5x = -1 + -10y + -5y2 Divide each side by '5'. x = -0.2 + -2y + -1y2 Simplifying x = -0.2 + -2y + -1y2
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