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Simplifying 12b2 + -5bc + -2c2 = 0 Reorder the terms: -5bc + 12b2 + -2c2 = 0 Solving -5bc + 12b2 + -2c2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + -2c)(4b + c) = 0Subproblem 1
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 = 0.6666666667cSubproblem 2
Set the factor '(4b + c)' equal to zero and attempt to solve: Simplifying 4b + c = 0 Solving 4b + c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. 4b + c + -1c = 0 + -1c Combine like terms: c + -1c = 0 4b + 0 = 0 + -1c 4b = 0 + -1c Remove the zero: 4b = -1c Divide each side by '4'. b = -0.25c Simplifying b = -0.25cSolution
b = {0.6666666667c, -0.25c}
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