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Simplifying 9x2 + 6x + y2 + x2 + -10x2 + 25 = 0 Reorder the terms: 25 + 6x + 9x2 + x2 + -10x2 + y2 = 0 Combine like terms: 9x2 + x2 = 10x2 25 + 6x + 10x2 + -10x2 + y2 = 0 Combine like terms: 10x2 + -10x2 = 0 25 + 6x + 0 + y2 = 0 25 + 6x + y2 = 0 Solving 25 + 6x + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 6x + -25 + y2 = 0 + -25 Reorder the terms: 25 + -25 + 6x + y2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 6x + y2 = 0 + -25 6x + y2 = 0 + -25 Combine like terms: 0 + -25 = -25 6x + y2 = -25 Add '-1y2' to each side of the equation. 6x + y2 + -1y2 = -25 + -1y2 Combine like terms: y2 + -1y2 = 0 6x + 0 = -25 + -1y2 6x = -25 + -1y2 Divide each side by '6'. x = -4.166666667 + -0.1666666667y2 Simplifying x = -4.166666667 + -0.1666666667y2
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