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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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