(3p+n)(6p+2n)-(5p-4n)=

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Solution for (3p+n)(6p+2n)-(5p-4n)= equation:


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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