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Simplifying 8b2 + -10bc + -3c2 = 0 Reorder the terms: -10bc + 8b2 + -3c2 = 0 Solving -10bc + 8b2 + -3c2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + -3c)(4b + c) = 0Subproblem 1
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 = 1.5cSubproblem 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 = {1.5c, -0.25c}
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