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Simplifying 10b2 + -23bc + -5c2 = 0 Reorder the terms: -23bc + 10b2 + -5c2 = 0 Solving -23bc + 10b2 + -5c2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + -5c)(5b + c) = 0Subproblem 1
Set the factor '(2b + -5c)' equal to zero and attempt to solve: Simplifying 2b + -5c = 0 Solving 2b + -5c = 0 Move all terms containing b to the left, all other terms to the right. Add '5c' to each side of the equation. 2b + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 2b + 0 = 0 + 5c 2b = 0 + 5c Remove the zero: 2b = 5c Divide each side by '2'. b = 2.5c Simplifying b = 2.5cSubproblem 2
Set the factor '(5b + c)' equal to zero and attempt to solve: Simplifying 5b + c = 0 Solving 5b + c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. 5b + c + -1c = 0 + -1c Combine like terms: c + -1c = 0 5b + 0 = 0 + -1c 5b = 0 + -1c Remove the zero: 5b = -1c Divide each side by '5'. b = -0.2c Simplifying b = -0.2cSolution
b = {2.5c, -0.2c}
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