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Simplifying 30c2 + 17cb + -35b2 = 0 Reorder the terms: 17bc + -35b2 + 30c2 = 0 Solving 17bc + -35b2 + 30c2 = 0 Solving for variable 'b'. Factor a trinomial. (-7b + -5c)(5b + -6c) = 0Subproblem 1
Set the factor '(-7b + -5c)' equal to zero and attempt to solve: Simplifying -7b + -5c = 0 Solving -7b + -5c = 0 Move all terms containing b to the left, all other terms to the right. Add '5c' to each side of the equation. -7b + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 -7b + 0 = 0 + 5c -7b = 0 + 5c Remove the zero: -7b = 5c Divide each side by '-7'. b = -0.7142857143c Simplifying b = -0.7142857143cSubproblem 2
Set the factor '(5b + -6c)' equal to zero and attempt to solve: Simplifying 5b + -6c = 0 Solving 5b + -6c = 0 Move all terms containing b to the left, all other terms to the right. Add '6c' to each side of the equation. 5b + -6c + 6c = 0 + 6c Combine like terms: -6c + 6c = 0 5b + 0 = 0 + 6c 5b = 0 + 6c Remove the zero: 5b = 6c Divide each side by '5'. b = 1.2c Simplifying b = 1.2cSolution
b = {-0.7142857143c, 1.2c}
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