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Simplifying 9x * x + -100y * y = 0 Multiply x * x 9x2 + -100y * y = 0 Multiply y * y 9x2 + -100y2 = 0 Solving 9x2 + -100y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100y2' to each side of the equation. 9x2 + -100y2 + 100y2 = 0 + 100y2 Combine like terms: -100y2 + 100y2 = 0 9x2 + 0 = 0 + 100y2 9x2 = 0 + 100y2 Remove the zero: 9x2 = 100y2 Divide each side by '9'. x2 = 11.11111111y2 Simplifying x2 = 11.11111111y2 Take the square root of each side: x = {-3.333333333y, 3.333333333y}
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