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Simplifying 4b2 + 15bc + -4c2 = 0 Reorder the terms: 15bc + 4b2 + -4c2 = 0 Solving 15bc + 4b2 + -4c2 = 0 Solving for variable 'b'. Factor a trinomial. (4b + -1c)(b + 4c) = 0Subproblem 1
Set the factor '(4b + -1c)' equal to zero and attempt to solve: Simplifying 4b + -1c = 0 Solving 4b + -1c = 0 Move all terms containing b to the left, all other terms to the right. Add 'c' to each side of the equation. 4b + -1c + c = 0 + c Combine like terms: -1c + c = 0 4b + 0 = 0 + c 4b = 0 + c Remove the zero: 4b = c Divide each side by '4'. b = 0.25c Simplifying b = 0.25cSubproblem 2
Set the factor '(b + 4c)' equal to zero and attempt to solve: Simplifying b + 4c = 0 Solving b + 4c = 0 Move all terms containing b to the left, all other terms to the right. Add '-4c' to each side of the equation. b + 4c + -4c = 0 + -4c Combine like terms: 4c + -4c = 0 b + 0 = 0 + -4c b = 0 + -4c Remove the zero: b = -4c Simplifying b = -4cSolution
b = {0.25c, -4c}
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