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Simplifying 9c2 + 12ct + 4t2 = 0 Reorder the terms: 12ct + 9c2 + 4t2 = 0 Solving 12ct + 9c2 + 4t2 = 0 Solving for variable 'c'. Factor a trinomial. (3c + 2t)(3c + 2t) = 0Subproblem 1
Set the factor '(3c + 2t)' equal to zero and attempt to solve: Simplifying 3c + 2t = 0 Solving 3c + 2t = 0 Move all terms containing c to the left, all other terms to the right. Add '-2t' to each side of the equation. 3c + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 3c + 0 = 0 + -2t 3c = 0 + -2t Remove the zero: 3c = -2t Divide each side by '3'. c = -0.6666666667t Simplifying c = -0.6666666667tSubproblem 2
Set the factor '(3c + 2t)' equal to zero and attempt to solve: Simplifying 3c + 2t = 0 Solving 3c + 2t = 0 Move all terms containing c to the left, all other terms to the right. Add '-2t' to each side of the equation. 3c + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 3c + 0 = 0 + -2t 3c = 0 + -2t Remove the zero: 3c = -2t Divide each side by '3'. c = -0.6666666667t Simplifying c = -0.6666666667tSolution
c = {-0.6666666667t, -0.6666666667t}
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