(4a+3b)(a+2b)=(3a+b-2)

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Solution for (4a+3b)(a+2b)=(3a+b-2) equation:


Simplifying
(4a + 3b)(a + 2b) = (3a + b + -2)

Multiply (4a + 3b) * (a + 2b)
(4a * (a + 2b) + 3b * (a + 2b)) = (3a + b + -2)
((a * 4a + 2b * 4a) + 3b * (a + 2b)) = (3a + b + -2)

Reorder the terms:
((8ab + 4a2) + 3b * (a + 2b)) = (3a + b + -2)
((8ab + 4a2) + 3b * (a + 2b)) = (3a + b + -2)
(8ab + 4a2 + (a * 3b + 2b * 3b)) = (3a + b + -2)
(8ab + 4a2 + (3ab + 6b2)) = (3a + b + -2)

Reorder the terms:
(8ab + 3ab + 4a2 + 6b2) = (3a + b + -2)

Combine like terms: 8ab + 3ab = 11ab
(11ab + 4a2 + 6b2) = (3a + b + -2)

Reorder the terms:
11ab + 4a2 + 6b2 = (-2 + 3a + b)

Remove parenthesis around (-2 + 3a + b)
11ab + 4a2 + 6b2 = -2 + 3a + b

Solving
11ab + 4a2 + 6b2 = -2 + 3a + b

Solving for variable 'a'.

Reorder the terms:
2 + -3a + 11ab + 4a2 + -1b + 6b2 = -2 + 3a + b + 2 + -3a + -1b

Reorder the terms:
2 + -3a + 11ab + 4a2 + -1b + 6b2 = -2 + 2 + 3a + -3a + b + -1b

Combine like terms: -2 + 2 = 0
2 + -3a + 11ab + 4a2 + -1b + 6b2 = 0 + 3a + -3a + b + -1b
2 + -3a + 11ab + 4a2 + -1b + 6b2 = 3a + -3a + b + -1b

Combine like terms: 3a + -3a = 0
2 + -3a + 11ab + 4a2 + -1b + 6b2 = 0 + b + -1b
2 + -3a + 11ab + 4a2 + -1b + 6b2 = b + -1b

Combine like terms: b + -1b = 0
2 + -3a + 11ab + 4a2 + -1b + 6b2 = 0

The solution to this equation could not be determined.

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