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Simplifying 3x2 + 0x + 3y2 + 5y + 0 = 0 Anything times zero is zero. 3x2 + 0x + 3y2 + 5y + 0 = 0 Reorder the terms: 0 + 0 + 3x2 + 5y + 3y2 = 0 Combine like terms: 0 + 0 = 0 0 + 3x2 + 5y + 3y2 = 0 3x2 + 5y + 3y2 = 0 Solving 3x2 + 5y + 3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 3x2 + 5y + -5y + 3y2 = 0 + -5y Combine like terms: 5y + -5y = 0 3x2 + 0 + 3y2 = 0 + -5y 3x2 + 3y2 = 0 + -5y Remove the zero: 3x2 + 3y2 = -5y Add '-3y2' to each side of the equation. 3x2 + 3y2 + -3y2 = -5y + -3y2 Combine like terms: 3y2 + -3y2 = 0 3x2 + 0 = -5y + -3y2 3x2 = -5y + -3y2 Divide each side by '3'. x2 = -1.666666667y + -1y2 Simplifying x2 = -1.666666667y + -1y2 Reorder the terms: x2 + 1.666666667y + y2 = -1.666666667y + 1.666666667y + -1y2 + y2 Combine like terms: -1.666666667y + 1.666666667y = 0.000000000 x2 + 1.666666667y + y2 = 0.000000000 + -1y2 + y2 x2 + 1.666666667y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 x2 + 1.666666667y + y2 = 0 The solution to this equation could not be determined.
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