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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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