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Simplifying g(n) = (n2 + 4 + 2n)(-3n + 2)(1) Multiply g * n gn = (n2 + 4 + 2n)(-3n + 2)(1) Reorder the terms: gn = (4 + 2n + n2)(-3n + 2)(1) Reorder the terms: gn = (4 + 2n + n2)(2 + -3n)(1) Reorder the terms for easier multiplication: gn = 1(4 + 2n + n2)(2 + -3n) Multiply (4 + 2n + n2) * (2 + -3n) gn = 1(4(2 + -3n) + 2n * (2 + -3n) + n2(2 + -3n)) gn = 1((2 * 4 + -3n * 4) + 2n * (2 + -3n) + n2(2 + -3n)) gn = 1((8 + -12n) + 2n * (2 + -3n) + n2(2 + -3n)) gn = 1(8 + -12n + (2 * 2n + -3n * 2n) + n2(2 + -3n)) gn = 1(8 + -12n + (4n + -6n2) + n2(2 + -3n)) gn = 1(8 + -12n + 4n + -6n2 + (2 * n2 + -3n * n2)) gn = 1(8 + -12n + 4n + -6n2 + (2n2 + -3n3)) Combine like terms: -12n + 4n = -8n gn = 1(8 + -8n + -6n2 + 2n2 + -3n3) Combine like terms: -6n2 + 2n2 = -4n2 gn = 1(8 + -8n + -4n2 + -3n3) gn = (8 * 1 + -8n * 1 + -4n2 * 1 + -3n3 * 1) gn = (8 + -8n + -4n2 + -3n3) Solving gn = 8 + -8n + -4n2 + -3n3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'n'. g = 8n-1 + -8 + -4n + -3n2 Simplifying g = 8n-1 + -8 + -4n + -3n2 Reorder the terms: g = -8 + 8n-1 + -4n + -3n2
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