(5a+4b)(3a+8b)=n

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Solution for (5a+4b)(3a+8b)=n equation:


Simplifying
(5a + 4b)(3a + 8b) = n

Multiply (5a + 4b) * (3a + 8b)
(5a * (3a + 8b) + 4b * (3a + 8b)) = n
((3a * 5a + 8b * 5a) + 4b * (3a + 8b)) = n

Reorder the terms:
((40ab + 15a2) + 4b * (3a + 8b)) = n
((40ab + 15a2) + 4b * (3a + 8b)) = n
(40ab + 15a2 + (3a * 4b + 8b * 4b)) = n
(40ab + 15a2 + (12ab + 32b2)) = n

Reorder the terms:
(40ab + 12ab + 15a2 + 32b2) = n

Combine like terms: 40ab + 12ab = 52ab
(52ab + 15a2 + 32b2) = n

Solving
52ab + 15a2 + 32b2 = n

Solving for variable 'a'.

Combine like terms: n + -1n = 0
52ab + 15a2 + 32b2 + -1n = 0

The solution to this equation could not be determined.

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