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Simplifying 27b3c + -12bc3 = 0 Reorder the terms: -12bc3 + 27b3c = 0 Solving -12bc3 + 27b3c = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3bc'. 3bc(-4c2 + 9b2) = 0 Factor a difference between two squares. 3bc((2c + 3b)(-2c + 3b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'bc' equal to zero and attempt to solve: Simplifying bc = 0 Solving bc = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bc = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2c + 3b)' equal to zero and attempt to solve: Simplifying 2c + 3b = 0 Reorder the terms: 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 3
Set the factor '(-2c + 3b)' equal to zero and attempt to solve: Simplifying -2c + 3b = 0 Reorder the terms: 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 = 0.6666666667cSolution
b = {-0.6666666667c, 0.6666666667c}
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