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Simplifying 9x2 + 4y2 + -24y = 0 Reorder the terms: 9x2 + -24y + 4y2 = 0 Solving 9x2 + -24y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. 9x2 + -24y + 24y + 4y2 = 0 + 24y Combine like terms: -24y + 24y = 0 9x2 + 0 + 4y2 = 0 + 24y 9x2 + 4y2 = 0 + 24y Remove the zero: 9x2 + 4y2 = 24y Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 = 24y + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 = 24y + -4y2 9x2 = 24y + -4y2 Divide each side by '9'. x2 = 2.666666667y + -0.4444444444y2 Simplifying x2 = 2.666666667y + -0.4444444444y2 Reorder the terms: x2 + -2.666666667y + 0.4444444444y2 = 2.666666667y + -2.666666667y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: 2.666666667y + -2.666666667y = 0.000000000 x2 + -2.666666667y + 0.4444444444y2 = 0.000000000 + -0.4444444444y2 + 0.4444444444y2 x2 + -2.666666667y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 x2 + -2.666666667y + 0.4444444444y2 = 0.0000000000 The solution to this equation could not be determined.
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