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Simplifying y2 + 10x + -20y + 100 = 0 Reorder the terms: 100 + 10x + -20y + y2 = 0 Solving 100 + 10x + -20y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + 10x + -20y + -100 + y2 = 0 + -100 Reorder the terms: 100 + -100 + 10x + -20y + y2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 10x + -20y + y2 = 0 + -100 10x + -20y + y2 = 0 + -100 Combine like terms: 0 + -100 = -100 10x + -20y + y2 = -100 Add '20y' to each side of the equation. 10x + -20y + 20y + y2 = -100 + 20y Combine like terms: -20y + 20y = 0 10x + 0 + y2 = -100 + 20y 10x + y2 = -100 + 20y Add '-1y2' to each side of the equation. 10x + y2 + -1y2 = -100 + 20y + -1y2 Combine like terms: y2 + -1y2 = 0 10x + 0 = -100 + 20y + -1y2 10x = -100 + 20y + -1y2 Divide each side by '10'. x = -10 + 2y + -0.1y2 Simplifying x = -10 + 2y + -0.1y2
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