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