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Simplifying (3p + n)(6p + 2n) + -1(5p + -4n) = 0 Reorder the terms: (n + 3p)(6p + 2n) + -1(5p + -4n) = 0 Reorder the terms: (n + 3p)(2n + 6p) + -1(5p + -4n) = 0 Multiply (n + 3p) * (2n + 6p) (n(2n + 6p) + 3p * (2n + 6p)) + -1(5p + -4n) = 0 ((2n * n + 6p * n) + 3p * (2n + 6p)) + -1(5p + -4n) = 0 Reorder the terms: ((6np + 2n2) + 3p * (2n + 6p)) + -1(5p + -4n) = 0 ((6np + 2n2) + 3p * (2n + 6p)) + -1(5p + -4n) = 0 (6np + 2n2 + (2n * 3p + 6p * 3p)) + -1(5p + -4n) = 0 (6np + 2n2 + (6np + 18p2)) + -1(5p + -4n) = 0 Reorder the terms: (6np + 6np + 2n2 + 18p2) + -1(5p + -4n) = 0 Combine like terms: 6np + 6np = 12np (12np + 2n2 + 18p2) + -1(5p + -4n) = 0 Reorder the terms: 12np + 2n2 + 18p2 + -1(-4n + 5p) = 0 12np + 2n2 + 18p2 + (-4n * -1 + 5p * -1) = 0 12np + 2n2 + 18p2 + (4n + -5p) = 0 Reorder the terms: 4n + 12np + 2n2 + -5p + 18p2 = 0 Solving 4n + 12np + 2n2 + -5p + 18p2 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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