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Simplifying 12b8 + -27c2 = 0 Solving 12b8 + -27c2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27c2' to each side of the equation. 12b8 + -27c2 + 27c2 = 0 + 27c2 Combine like terms: -27c2 + 27c2 = 0 12b8 + 0 = 0 + 27c2 12b8 = 0 + 27c2 Remove the zero: 12b8 = 27c2 Divide each side by '12'. b8 = 2.25c2 Simplifying b8 = 2.25c2 Combine like terms: 2.25c2 + -2.25c2 = 0.00 b8 + -2.25c2 = 0.00 Factor a difference between two squares. (b4 + 1.5c)(b4 + -1.5c) = 0.00Subproblem 1
Set the factor '(b4 + 1.5c)' equal to zero and attempt to solve: Simplifying b4 + 1.5c = 0 Solving b4 + 1.5c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1.5c' to each side of the equation. b4 + 1.5c + -1.5c = 0 + -1.5c Combine like terms: 1.5c + -1.5c = 0.0 b4 + 0.0 = 0 + -1.5c b4 = 0 + -1.5c Remove the zero: b4 = -1.5c Simplifying b4 = -1.5c 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 '(b4 + -1.5c)' equal to zero and attempt to solve: Simplifying b4 + -1.5c = 0 Solving b4 + -1.5c = 0 Move all terms containing b to the left, all other terms to the right. Add '1.5c' to each side of the equation. b4 + -1.5c + 1.5c = 0 + 1.5c Combine like terms: -1.5c + 1.5c = 0.0 b4 + 0.0 = 0 + 1.5c b4 = 0 + 1.5c Remove the zero: b4 = 1.5c Simplifying b4 = 1.5c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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