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Simplifying 24b2 + 26bc + -5c2 = 0 Reorder the terms: 26bc + 24b2 + -5c2 = 0 Solving 26bc + 24b2 + -5c2 = 0 Solving for variable 'b'. Factor a trinomial. (6b + -1c)(4b + 5c) = 0Subproblem 1
Set the factor '(6b + -1c)' equal to zero and attempt to solve: Simplifying 6b + -1c = 0 Solving 6b + -1c = 0 Move all terms containing b to the left, all other terms to the right. Add 'c' to each side of the equation. 6b + -1c + c = 0 + c Combine like terms: -1c + c = 0 6b + 0 = 0 + c 6b = 0 + c Remove the zero: 6b = c Divide each side by '6'. b = 0.1666666667c Simplifying b = 0.1666666667cSubproblem 2
Set the factor '(4b + 5c)' equal to zero and attempt to solve: Simplifying 4b + 5c = 0 Solving 4b + 5c = 0 Move all terms containing b to the left, all other terms to the right. Add '-5c' to each side of the equation. 4b + 5c + -5c = 0 + -5c Combine like terms: 5c + -5c = 0 4b + 0 = 0 + -5c 4b = 0 + -5c Remove the zero: 4b = -5c Divide each side by '4'. b = -1.25c Simplifying b = -1.25cSolution
b = {0.1666666667c, -1.25c}
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