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Simplifying 6b2c + 24bc + 24c = 0 Reorder the terms: 24bc + 6b2c + 24c = 0 Solving 24bc + 6b2c + 24c = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6c'. 6c(4b + b2 + 4) = 0 Factor a trinomial. 6c((b + 2)(b + 2)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c 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 '(b + 2)' equal to zero and attempt to solve: Simplifying b + 2 = 0 Reorder the terms: 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Subproblem 3
Set the factor '(b + 2)' equal to zero and attempt to solve: Simplifying b + 2 = 0 Reorder the terms: 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Solution
b = {-2, -2}
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