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Simplifying 15b2 + -14bc + -8c2 = 0 Reorder the terms: -14bc + 15b2 + -8c2 = 0 Solving -14bc + 15b2 + -8c2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + -4c)(5b + 2c) = 0Subproblem 1
Set the factor '(3b + -4c)' equal to zero and attempt to solve: Simplifying 3b + -4c = 0 Solving 3b + -4c = 0 Move all terms containing b to the left, all other terms to the right. Add '4c' to each side of the equation. 3b + -4c + 4c = 0 + 4c Combine like terms: -4c + 4c = 0 3b + 0 = 0 + 4c 3b = 0 + 4c Remove the zero: 3b = 4c Divide each side by '3'. b = 1.333333333c Simplifying b = 1.333333333cSubproblem 2
Set the factor '(5b + 2c)' equal to zero and attempt to solve: Simplifying 5b + 2c = 0 Solving 5b + 2c = 0 Move all terms containing b to the left, all other terms to the right. Add '-2c' to each side of the equation. 5b + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 5b + 0 = 0 + -2c 5b = 0 + -2c Remove the zero: 5b = -2c Divide each side by '5'. b = -0.4c Simplifying b = -0.4cSolution
b = {1.333333333c, -0.4c}
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