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Simplifying 5x^{2}+ 6xy + 13j^{2}= 0 Reorder the terms: 13j^{2}+ 6xy + 5x^{2}= 0 Solving 13j^{2}+ 6xy + 5x^{2}= 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6xy' to each side of the equation. 13j^{2}+ 6xy + -6xy + 5x^{2}= 0 + -6xy Combine like terms: 6xy + -6xy = 0 13j^{2}+ 0 + 5x^{2}= 0 + -6xy 13j^{2}+ 5x^{2}= 0 + -6xy Remove the zero: 13j^{2}+ 5x^{2}= -6xy Add '-5x^{2}' to each side of the equation. 13j^{2}+ 5x^{2}+ -5x^{2}= -6xy + -5x^{2}Combine like terms: 5x^{2}+ -5x^{2}= 0 13j^{2}+ 0 = -6xy + -5x^{2}13j^{2}= -6xy + -5x^{2}Divide each side by '13'. j^{2}= -0.4615384615xy + -0.3846153846x^{2}Simplifying j^{2}= -0.4615384615xy + -0.3846153846x^{2}Reorder the terms: j^{2}+ 0.4615384615xy + 0.3846153846x^{2}= -0.4615384615xy + 0.4615384615xy + -0.3846153846x^{2}+ 0.3846153846x^{2}Combine like terms: -0.4615384615xy + 0.4615384615xy = 0.0000000000 j^{2}+ 0.4615384615xy + 0.3846153846x^{2}= 0.0000000000 + -0.3846153846x^{2}+ 0.3846153846x^{2}j^{2}+ 0.4615384615xy + 0.3846153846x^{2}= -0.3846153846x^{2}+ 0.3846153846x^{2}Combine like terms: -0.3846153846x^{2}+ 0.3846153846x^{2}= 0.0000000000 j^{2}+ 0.4615384615xy + 0.3846153846x^{2}= 0.0000000000 The solution to this equation could not be determined.

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