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Simplifying 4c2 + 12cf + 9f2 = 0 Reorder the terms: 12cf + 4c2 + 9f2 = 0 Solving 12cf + 4c2 + 9f2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + 3f)(2c + 3f) = 0Subproblem 1
Set the factor '(2c + 3f)' equal to zero and attempt to solve: Simplifying 2c + 3f = 0 Solving 2c + 3f = 0 Move all terms containing c to the left, all other terms to the right. Add '-3f' to each side of the equation. 2c + 3f + -3f = 0 + -3f Combine like terms: 3f + -3f = 0 2c + 0 = 0 + -3f 2c = 0 + -3f Remove the zero: 2c = -3f Divide each side by '2'. c = -1.5f Simplifying c = -1.5fSubproblem 2
Set the factor '(2c + 3f)' equal to zero and attempt to solve: Simplifying 2c + 3f = 0 Solving 2c + 3f = 0 Move all terms containing c to the left, all other terms to the right. Add '-3f' to each side of the equation. 2c + 3f + -3f = 0 + -3f Combine like terms: 3f + -3f = 0 2c + 0 = 0 + -3f 2c = 0 + -3f Remove the zero: 2c = -3f Divide each side by '2'. c = -1.5f Simplifying c = -1.5fSolution
c = {-1.5f, -1.5f}
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