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Simplifying 48b2 + 70bc + -3c2 = 0 Reorder the terms: 70bc + 48b2 + -3c2 = 0 Solving 70bc + 48b2 + -3c2 = 0 Solving for variable 'b'. Factor a trinomial. (24b + -1c)(2b + 3c) = 0Subproblem 1
Set the factor '(24b + -1c)' equal to zero and attempt to solve: Simplifying 24b + -1c = 0 Solving 24b + -1c = 0 Move all terms containing b to the left, all other terms to the right. Add 'c' to each side of the equation. 24b + -1c + c = 0 + c Combine like terms: -1c + c = 0 24b + 0 = 0 + c 24b = 0 + c Remove the zero: 24b = c Divide each side by '24'. b = 0.04166666667c Simplifying b = 0.04166666667cSubproblem 2
Set the factor '(2b + 3c)' equal to zero and attempt to solve: Simplifying 2b + 3c = 0 Solving 2b + 3c = 0 Move all terms containing b to the left, all other terms to the right. Add '-3c' to each side of the equation. 2b + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 2b + 0 = 0 + -3c 2b = 0 + -3c Remove the zero: 2b = -3c Divide each side by '2'. b = -1.5c Simplifying b = -1.5cSolution
b = {0.04166666667c, -1.5c}
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