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Simplifying a2 + n + 2b2 = (a + b)(a + 2b) Reorder the terms: a2 + 2b2 + n = (a + b)(a + 2b) Multiply (a + b) * (a + 2b) a2 + 2b2 + n = (a(a + 2b) + b(a + 2b)) a2 + 2b2 + n = ((a * a + 2b * a) + b(a + 2b)) Reorder the terms: a2 + 2b2 + n = ((2ab + a2) + b(a + 2b)) a2 + 2b2 + n = ((2ab + a2) + b(a + 2b)) a2 + 2b2 + n = (2ab + a2 + (a * b + 2b * b)) a2 + 2b2 + n = (2ab + a2 + (ab + 2b2)) Reorder the terms: a2 + 2b2 + n = (2ab + ab + a2 + 2b2) Combine like terms: 2ab + ab = 3ab a2 + 2b2 + n = (3ab + a2 + 2b2) Add '-1a2' to each side of the equation. a2 + 2b2 + -1a2 + n = 3ab + a2 + -1a2 + 2b2 Reorder the terms: a2 + -1a2 + 2b2 + n = 3ab + a2 + -1a2 + 2b2 Combine like terms: a2 + -1a2 = 0 0 + 2b2 + n = 3ab + a2 + -1a2 + 2b2 2b2 + n = 3ab + a2 + -1a2 + 2b2 Combine like terms: a2 + -1a2 = 0 2b2 + n = 3ab + 0 + 2b2 2b2 + n = 3ab + 2b2 Add '-2b2' to each side of the equation. 2b2 + -2b2 + n = 3ab + 2b2 + -2b2 Combine like terms: 2b2 + -2b2 = 0 0 + n = 3ab + 2b2 + -2b2 n = 3ab + 2b2 + -2b2 Combine like terms: 2b2 + -2b2 = 0 n = 3ab + 0 n = 3ab Solving n = 3ab Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Simplifying n = 3ab
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