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Simplifying y2 + -6x + 20y + -51 = 0 Reorder the terms: -51 + -6x + 20y + y2 = 0 Solving -51 + -6x + 20y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + -6x + 20y + 51 + y2 = 0 + 51 Reorder the terms: -51 + 51 + -6x + 20y + y2 = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -6x + 20y + y2 = 0 + 51 -6x + 20y + y2 = 0 + 51 Combine like terms: 0 + 51 = 51 -6x + 20y + y2 = 51 Add '-20y' to each side of the equation. -6x + 20y + -20y + y2 = 51 + -20y Combine like terms: 20y + -20y = 0 -6x + 0 + y2 = 51 + -20y -6x + y2 = 51 + -20y Add '-1y2' to each side of the equation. -6x + y2 + -1y2 = 51 + -20y + -1y2 Combine like terms: y2 + -1y2 = 0 -6x + 0 = 51 + -20y + -1y2 -6x = 51 + -20y + -1y2 Divide each side by '-6'. x = -8.5 + 3.333333333y + 0.1666666667y2 Simplifying x = -8.5 + 3.333333333y + 0.1666666667y2
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