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Simplifying a2 + n + 2b2 = (a + ab)(a + 2ab) Reorder the terms: a2 + 2b2 + n = (a + ab)(a + 2ab) Multiply (a + ab) * (a + 2ab) a2 + 2b2 + n = (a(a + 2ab) + ab(a + 2ab)) a2 + 2b2 + n = ((a * a + 2ab * a) + ab(a + 2ab)) a2 + 2b2 + n = ((a2 + 2a2b) + ab(a + 2ab)) a2 + 2b2 + n = (a2 + 2a2b + (a * ab + 2ab * ab)) a2 + 2b2 + n = (a2 + 2a2b + (a2b + 2a2b2)) Combine like terms: 2a2b + a2b = 3a2b a2 + 2b2 + n = (a2 + 3a2b + 2a2b2) Add '-1a2' to each side of the equation. a2 + 2b2 + -1a2 + n = a2 + 3a2b + -1a2 + 2a2b2 Reorder the terms: a2 + -1a2 + 2b2 + n = a2 + 3a2b + -1a2 + 2a2b2 Combine like terms: a2 + -1a2 = 0 0 + 2b2 + n = a2 + 3a2b + -1a2 + 2a2b2 2b2 + n = a2 + 3a2b + -1a2 + 2a2b2 Reorder the terms: 2b2 + n = a2 + -1a2 + 3a2b + 2a2b2 Combine like terms: a2 + -1a2 = 0 2b2 + n = 0 + 3a2b + 2a2b2 2b2 + n = 3a2b + 2a2b2 Solving 2b2 + n = 3a2b + 2a2b2 Solving for variable 'b'. Reorder the terms: -3a2b + -2a2b2 + 2b2 + n = 3a2b + 2a2b2 + -3a2b + -2a2b2 Reorder the terms: -3a2b + -2a2b2 + 2b2 + n = 3a2b + -3a2b + 2a2b2 + -2a2b2 Combine like terms: 3a2b + -3a2b = 0 -3a2b + -2a2b2 + 2b2 + n = 0 + 2a2b2 + -2a2b2 -3a2b + -2a2b2 + 2b2 + n = 2a2b2 + -2a2b2 Combine like terms: 2a2b2 + -2a2b2 = 0 -3a2b + -2a2b2 + 2b2 + n = 0 The solution to this equation could not be determined.
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