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Simplifying y2 + 10x + -6y + -1 = 0 Reorder the terms: -1 + 10x + -6y + y2 = 0 Solving -1 + 10x + -6y + y2 = 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 + 10x + -6y + 1 + y2 = 0 + 1 Reorder the terms: -1 + 1 + 10x + -6y + y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x + -6y + y2 = 0 + 1 10x + -6y + y2 = 0 + 1 Combine like terms: 0 + 1 = 1 10x + -6y + y2 = 1 Add '6y' to each side of the equation. 10x + -6y + 6y + y2 = 1 + 6y Combine like terms: -6y + 6y = 0 10x + 0 + y2 = 1 + 6y 10x + y2 = 1 + 6y Add '-1y2' to each side of the equation. 10x + y2 + -1y2 = 1 + 6y + -1y2 Combine like terms: y2 + -1y2 = 0 10x + 0 = 1 + 6y + -1y2 10x = 1 + 6y + -1y2 Divide each side by '10'. x = 0.1 + 0.6y + -0.1y2 Simplifying x = 0.1 + 0.6y + -0.1y2
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