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Simplifying 3b2 + -8bc + 4c2 = 0 Reorder the terms: -8bc + 3b2 + 4c2 = 0 Solving -8bc + 3b2 + 4c2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -2c)(3b + -2c) = 0Subproblem 1
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 = 2cSubproblem 2
Set the factor '(3b + -2c)' equal to zero and attempt to solve: Simplifying 3b + -2c = 0 Solving 3b + -2c = 0 Move all terms containing b to the left, all other terms to the right. Add '2c' to each side of the equation. 3b + -2c + 2c = 0 + 2c Combine like terms: -2c + 2c = 0 3b + 0 = 0 + 2c 3b = 0 + 2c Remove the zero: 3b = 2c Divide each side by '3'. b = 0.6666666667c Simplifying b = 0.6666666667cSolution
b = {2c, 0.6666666667c}
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