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Simplifying b2 + -2bc + -3c2 = 0 Reorder the terms: -2bc + b2 + -3c2 = 0 Solving -2bc + b2 + -3c2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -3c)(b + c) = 0Subproblem 1
Set the factor '(b + -3c)' equal to zero and attempt to solve: Simplifying b + -3c = 0 Solving b + -3c = 0 Move all terms containing b to the left, all other terms to the right. Add '3c' to each side of the equation. b + -3c + 3c = 0 + 3c Combine like terms: -3c + 3c = 0 b + 0 = 0 + 3c b = 0 + 3c Remove the zero: b = 3c Simplifying b = 3cSubproblem 2
Set the factor '(b + c)' equal to zero and attempt to solve: Simplifying b + c = 0 Solving b + c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. b + c + -1c = 0 + -1c Combine like terms: c + -1c = 0 b + 0 = 0 + -1c b = 0 + -1c Remove the zero: b = -1c Simplifying b = -1cSolution
b = {3c, -1c}
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