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Simplifying 20b2 + 17bc + -63c2 = 0 Reorder the terms: 17bc + 20b2 + -63c2 = 0 Solving 17bc + 20b2 + -63c2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + -7c)(4b + 9c) = 0Subproblem 1
Set the factor '(5b + -7c)' equal to zero and attempt to solve: Simplifying 5b + -7c = 0 Solving 5b + -7c = 0 Move all terms containing b to the left, all other terms to the right. Add '7c' to each side of the equation. 5b + -7c + 7c = 0 + 7c Combine like terms: -7c + 7c = 0 5b + 0 = 0 + 7c 5b = 0 + 7c Remove the zero: 5b = 7c Divide each side by '5'. b = 1.4c Simplifying b = 1.4cSubproblem 2
Set the factor '(4b + 9c)' equal to zero and attempt to solve: Simplifying 4b + 9c = 0 Solving 4b + 9c = 0 Move all terms containing b to the left, all other terms to the right. Add '-9c' to each side of the equation. 4b + 9c + -9c = 0 + -9c Combine like terms: 9c + -9c = 0 4b + 0 = 0 + -9c 4b = 0 + -9c Remove the zero: 4b = -9c Divide each side by '4'. b = -2.25c Simplifying b = -2.25cSolution
b = {1.4c, -2.25c}
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