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Simplifying 25y2 + 50y + 5x2 = 225 Reorder the terms: 5x2 + 50y + 25y2 = 225 Solving 5x2 + 50y + 25y2 = 225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50y' to each side of the equation. 5x2 + 50y + -50y + 25y2 = 225 + -50y Combine like terms: 50y + -50y = 0 5x2 + 0 + 25y2 = 225 + -50y 5x2 + 25y2 = 225 + -50y Add '-25y2' to each side of the equation. 5x2 + 25y2 + -25y2 = 225 + -50y + -25y2 Combine like terms: 25y2 + -25y2 = 0 5x2 + 0 = 225 + -50y + -25y2 5x2 = 225 + -50y + -25y2 Divide each side by '5'. x2 = 45 + -10y + -5y2 Simplifying x2 = 45 + -10y + -5y2 Reorder the terms: -45 + x2 + 10y + 5y2 = 45 + -10y + -5y2 + -45 + 10y + 5y2 Reorder the terms: -45 + x2 + 10y + 5y2 = 45 + -45 + -10y + 10y + -5y2 + 5y2 Combine like terms: 45 + -45 = 0 -45 + x2 + 10y + 5y2 = 0 + -10y + 10y + -5y2 + 5y2 -45 + x2 + 10y + 5y2 = -10y + 10y + -5y2 + 5y2 Combine like terms: -10y + 10y = 0 -45 + x2 + 10y + 5y2 = 0 + -5y2 + 5y2 -45 + x2 + 10y + 5y2 = -5y2 + 5y2 Combine like terms: -5y2 + 5y2 = 0 -45 + x2 + 10y + 5y2 = 0 The solution to this equation could not be determined.
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