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Simplifying 9b2 + 72bc + 144c2 = 0 Reorder the terms: 72bc + 9b2 + 144c2 = 0 Solving 72bc + 9b2 + 144c2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '9'. 9(8bc + b2 + 16c2) = 0 Factor a trinomial. 9((b + 4c)(b + 4c)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(b + 4c)' equal to zero and attempt to solve: Simplifying b + 4c = 0 Solving b + 4c = 0 Move all terms containing b to the left, all other terms to the right. Add '-4c' to each side of the equation. b + 4c + -4c = 0 + -4c Combine like terms: 4c + -4c = 0 b + 0 = 0 + -4c b = 0 + -4c Remove the zero: b = -4c Simplifying b = -4cSubproblem 2
Set the factor '(b + 4c)' equal to zero and attempt to solve: Simplifying b + 4c = 0 Solving b + 4c = 0 Move all terms containing b to the left, all other terms to the right. Add '-4c' to each side of the equation. b + 4c + -4c = 0 + -4c Combine like terms: 4c + -4c = 0 b + 0 = 0 + -4c b = 0 + -4c Remove the zero: b = -4c Simplifying b = -4cSolution
b = {-4c, -4c}
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