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Simplifying 16a2 + -1x2 + -6xy + -9y2 = 0 Reorder the terms: 16a2 + -6xy + -1x2 + -9y2 = 0 Solving 16a2 + -6xy + -1x2 + -9y2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6xy' to each side of the equation. 16a2 + -6xy + -1x2 + 6xy + -9y2 = 0 + 6xy Reorder the terms: 16a2 + -6xy + 6xy + -1x2 + -9y2 = 0 + 6xy Combine like terms: -6xy + 6xy = 0 16a2 + 0 + -1x2 + -9y2 = 0 + 6xy 16a2 + -1x2 + -9y2 = 0 + 6xy Remove the zero: 16a2 + -1x2 + -9y2 = 6xy Add 'x2' to each side of the equation. 16a2 + -1x2 + x2 + -9y2 = 6xy + x2 Combine like terms: -1x2 + x2 = 0 16a2 + 0 + -9y2 = 6xy + x2 16a2 + -9y2 = 6xy + x2 Add '9y2' to each side of the equation. 16a2 + -9y2 + 9y2 = 6xy + x2 + 9y2 Combine like terms: -9y2 + 9y2 = 0 16a2 + 0 = 6xy + x2 + 9y2 16a2 = 6xy + x2 + 9y2 Divide each side by '16'. a2 = 0.375xy + 0.0625x2 + 0.5625y2 Simplifying a2 = 0.375xy + 0.0625x2 + 0.5625y2 Reorder the terms: a2 + -0.375xy + -0.0625x2 + -0.5625y2 = 0.375xy + -0.375xy + 0.0625x2 + -0.0625x2 + 0.5625y2 + -0.5625y2 Combine like terms: 0.375xy + -0.375xy = 0.000 a2 + -0.375xy + -0.0625x2 + -0.5625y2 = 0.000 + 0.0625x2 + -0.0625x2 + 0.5625y2 + -0.5625y2 a2 + -0.375xy + -0.0625x2 + -0.5625y2 = 0.0625x2 + -0.0625x2 + 0.5625y2 + -0.5625y2 Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000 a2 + -0.375xy + -0.0625x2 + -0.5625y2 = 0.0000 + 0.5625y2 + -0.5625y2 a2 + -0.375xy + -0.0625x2 + -0.5625y2 = 0.5625y2 + -0.5625y2 Combine like terms: 0.5625y2 + -0.5625y2 = 0.0000 a2 + -0.375xy + -0.0625x2 + -0.5625y2 = 0.0000 The solution to this equation could not be determined.
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