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Simplifying x2 + 6xy + 2Y2 = 21 Reorder the terms: 2Y2 + 6xy + x2 = 21 Solving 2Y2 + 6xy + x2 = 21 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. 2Y2 + 6xy + -6xy + x2 = 21 + -6xy Combine like terms: 6xy + -6xy = 0 2Y2 + 0 + x2 = 21 + -6xy 2Y2 + x2 = 21 + -6xy Add '-1x2' to each side of the equation. 2Y2 + x2 + -1x2 = 21 + -6xy + -1x2 Combine like terms: x2 + -1x2 = 0 2Y2 + 0 = 21 + -6xy + -1x2 2Y2 = 21 + -6xy + -1x2 Divide each side by '2'. Y2 = 10.5 + -3xy + -0.5x2 Simplifying Y2 = 10.5 + -3xy + -0.5x2 Reorder the terms: -10.5 + Y2 + 3xy + 0.5x2 = 10.5 + -3xy + -0.5x2 + -10.5 + 3xy + 0.5x2 Reorder the terms: -10.5 + Y2 + 3xy + 0.5x2 = 10.5 + -10.5 + -3xy + 3xy + -0.5x2 + 0.5x2 Combine like terms: 10.5 + -10.5 = 0.0 -10.5 + Y2 + 3xy + 0.5x2 = 0.0 + -3xy + 3xy + -0.5x2 + 0.5x2 -10.5 + Y2 + 3xy + 0.5x2 = -3xy + 3xy + -0.5x2 + 0.5x2 Combine like terms: -3xy + 3xy = 0 -10.5 + Y2 + 3xy + 0.5x2 = 0 + -0.5x2 + 0.5x2 -10.5 + Y2 + 3xy + 0.5x2 = -0.5x2 + 0.5x2 Combine like terms: -0.5x2 + 0.5x2 = 0.0 -10.5 + Y2 + 3xy + 0.5x2 = 0.0 The solution to this equation could not be determined.
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