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Simplifying 9x2 + y2 + 6y = 0 Reorder the terms: 9x2 + 6y + y2 = 0 Solving 9x2 + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 9x2 + 6y + -6y + y2 = 0 + -6y Combine like terms: 6y + -6y = 0 9x2 + 0 + y2 = 0 + -6y 9x2 + y2 = 0 + -6y Remove the zero: 9x2 + y2 = -6y Add '-1y2' to each side of the equation. 9x2 + y2 + -1y2 = -6y + -1y2 Combine like terms: y2 + -1y2 = 0 9x2 + 0 = -6y + -1y2 9x2 = -6y + -1y2 Divide each side by '9'. x2 = -0.6666666667y + -0.1111111111y2 Simplifying x2 = -0.6666666667y + -0.1111111111y2 Reorder the terms: x2 + 0.6666666667y + 0.1111111111y2 = -0.6666666667y + 0.6666666667y + -0.1111111111y2 + 0.1111111111y2 Combine like terms: -0.6666666667y + 0.6666666667y = 0.0000000000 x2 + 0.6666666667y + 0.1111111111y2 = 0.0000000000 + -0.1111111111y2 + 0.1111111111y2 x2 + 0.6666666667y + 0.1111111111y2 = -0.1111111111y2 + 0.1111111111y2 Combine like terms: -0.1111111111y2 + 0.1111111111y2 = 0.0000000000 x2 + 0.6666666667y + 0.1111111111y2 = 0.0000000000 The solution to this equation could not be determined.
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