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Simplifying 5x2 + 5y2 + -30y + 45 = 0 Reorder the terms: 45 + 5x2 + -30y + 5y2 = 0 Solving 45 + 5x2 + -30y + 5y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 5x2 + -30y + -45 + 5y2 = 0 + -45 Reorder the terms: 45 + -45 + 5x2 + -30y + 5y2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 5x2 + -30y + 5y2 = 0 + -45 5x2 + -30y + 5y2 = 0 + -45 Combine like terms: 0 + -45 = -45 5x2 + -30y + 5y2 = -45 Add '30y' to each side of the equation. 5x2 + -30y + 30y + 5y2 = -45 + 30y Combine like terms: -30y + 30y = 0 5x2 + 0 + 5y2 = -45 + 30y 5x2 + 5y2 = -45 + 30y Add '-5y2' to each side of the equation. 5x2 + 5y2 + -5y2 = -45 + 30y + -5y2 Combine like terms: 5y2 + -5y2 = 0 5x2 + 0 = -45 + 30y + -5y2 5x2 = -45 + 30y + -5y2 Divide each side by '5'. x2 = -9 + 6y + -1y2 Simplifying x2 = -9 + 6y + -1y2 Reorder the terms: 9 + x2 + -6y + y2 = -9 + 6y + -1y2 + 9 + -6y + y2 Reorder the terms: 9 + x2 + -6y + y2 = -9 + 9 + 6y + -6y + -1y2 + y2 Combine like terms: -9 + 9 = 0 9 + x2 + -6y + y2 = 0 + 6y + -6y + -1y2 + y2 9 + x2 + -6y + y2 = 6y + -6y + -1y2 + y2 Combine like terms: 6y + -6y = 0 9 + x2 + -6y + y2 = 0 + -1y2 + y2 9 + x2 + -6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 9 + x2 + -6y + y2 = 0 The solution to this equation could not be determined.
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