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Simplifying 4x2 + 6xy + 9Y2 = 0 Reorder the terms: 9Y2 + 6xy + 4x2 = 0 Solving 9Y2 + 6xy + 4x2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-6xy' to each side of the equation. 9Y2 + 6xy + -6xy + 4x2 = 0 + -6xy Combine like terms: 6xy + -6xy = 0 9Y2 + 0 + 4x2 = 0 + -6xy 9Y2 + 4x2 = 0 + -6xy Remove the zero: 9Y2 + 4x2 = -6xy Add '-4x2' to each side of the equation. 9Y2 + 4x2 + -4x2 = -6xy + -4x2 Combine like terms: 4x2 + -4x2 = 0 9Y2 + 0 = -6xy + -4x2 9Y2 = -6xy + -4x2 Divide each side by '9'. Y2 = -0.6666666667xy + -0.4444444444x2 Simplifying Y2 = -0.6666666667xy + -0.4444444444x2 Reorder the terms: Y2 + 0.6666666667xy + 0.4444444444x2 = -0.6666666667xy + 0.6666666667xy + -0.4444444444x2 + 0.4444444444x2 Combine like terms: -0.6666666667xy + 0.6666666667xy = 0.0000000000 Y2 + 0.6666666667xy + 0.4444444444x2 = 0.0000000000 + -0.4444444444x2 + 0.4444444444x2 Y2 + 0.6666666667xy + 0.4444444444x2 = -0.4444444444x2 + 0.4444444444x2 Combine like terms: -0.4444444444x2 + 0.4444444444x2 = 0.0000000000 Y2 + 0.6666666667xy + 0.4444444444x2 = 0.0000000000 The solution to this equation could not be determined.
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