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Simplifying 9b2 + 49bc + -30c2 = 0 Reorder the terms: 49bc + 9b2 + -30c2 = 0 Solving 49bc + 9b2 + -30c2 = 0 Solving for variable 'b'. Factor a trinomial. (9b + -5c)(b + 6c) = 0Subproblem 1
Set the factor '(9b + -5c)' equal to zero and attempt to solve: Simplifying 9b + -5c = 0 Solving 9b + -5c = 0 Move all terms containing b to the left, all other terms to the right. Add '5c' to each side of the equation. 9b + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 9b + 0 = 0 + 5c 9b = 0 + 5c Remove the zero: 9b = 5c Divide each side by '9'. b = 0.5555555556c Simplifying b = 0.5555555556cSubproblem 2
Set the factor '(b + 6c)' equal to zero and attempt to solve: Simplifying b + 6c = 0 Solving b + 6c = 0 Move all terms containing b to the left, all other terms to the right. Add '-6c' to each side of the equation. b + 6c + -6c = 0 + -6c Combine like terms: 6c + -6c = 0 b + 0 = 0 + -6c b = 0 + -6c Remove the zero: b = -6c Simplifying b = -6cSolution
b = {0.5555555556c, -6c}
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