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Simplifying y2 + -5x + 4y + -10 = 0 Reorder the terms: -10 + -5x + 4y + y2 = 0 Solving -10 + -5x + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5x + 4y + 10 + y2 = 0 + 10 Reorder the terms: -10 + 10 + -5x + 4y + y2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5x + 4y + y2 = 0 + 10 -5x + 4y + y2 = 0 + 10 Combine like terms: 0 + 10 = 10 -5x + 4y + y2 = 10 Add '-4y' to each side of the equation. -5x + 4y + -4y + y2 = 10 + -4y Combine like terms: 4y + -4y = 0 -5x + 0 + y2 = 10 + -4y -5x + y2 = 10 + -4y Add '-1y2' to each side of the equation. -5x + y2 + -1y2 = 10 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 -5x + 0 = 10 + -4y + -1y2 -5x = 10 + -4y + -1y2 Divide each side by '-5'. x = -2 + 0.8y + 0.2y2 Simplifying x = -2 + 0.8y + 0.2y2
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