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Simplifying b2 + 10bc + 25c2 = 0 Reorder the terms: 10bc + b2 + 25c2 = 0 Solving 10bc + b2 + 25c2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 5c)(b + 5c) = 0Subproblem 1
Set the factor '(b + 5c)' equal to zero and attempt to solve: Simplifying b + 5c = 0 Solving b + 5c = 0 Move all terms containing b to the left, all other terms to the right. Add '-5c' to each side of the equation. b + 5c + -5c = 0 + -5c Combine like terms: 5c + -5c = 0 b + 0 = 0 + -5c b = 0 + -5c Remove the zero: b = -5c Simplifying b = -5cSubproblem 2
Set the factor '(b + 5c)' equal to zero and attempt to solve: Simplifying b + 5c = 0 Solving b + 5c = 0 Move all terms containing b to the left, all other terms to the right. Add '-5c' to each side of the equation. b + 5c + -5c = 0 + -5c Combine like terms: 5c + -5c = 0 b + 0 = 0 + -5c b = 0 + -5c Remove the zero: b = -5c Simplifying b = -5cSolution
b = {-5c, -5c}
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