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Simplifying 27b2 + 39bc + 14c2 = 0 Reorder the terms: 39bc + 27b2 + 14c2 = 0 Solving 39bc + 27b2 + 14c2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + 2c)(9b + 7c) = 0Subproblem 1
Set the factor '(3b + 2c)' equal to zero and attempt to solve: Simplifying 3b + 2c = 0 Solving 3b + 2c = 0 Move all terms containing b to the left, all other terms to the right. Add '-2c' to each side of the equation. 3b + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 3b + 0 = 0 + -2c 3b = 0 + -2c Remove the zero: 3b = -2c Divide each side by '3'. b = -0.6666666667c Simplifying b = -0.6666666667cSubproblem 2
Set the factor '(9b + 7c)' equal to zero and attempt to solve: Simplifying 9b + 7c = 0 Solving 9b + 7c = 0 Move all terms containing b to the left, all other terms to the right. Add '-7c' to each side of the equation. 9b + 7c + -7c = 0 + -7c Combine like terms: 7c + -7c = 0 9b + 0 = 0 + -7c 9b = 0 + -7c Remove the zero: 9b = -7c Divide each side by '9'. b = -0.7777777778c Simplifying b = -0.7777777778cSolution
b = {-0.6666666667c, -0.7777777778c}
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