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Simplifying 18c2 + -39ct + 20t2 = 0 Reorder the terms: -39ct + 18c2 + 20t2 = 0 Solving -39ct + 18c2 + 20t2 = 0 Solving for variable 'c'. Factor a trinomial. (3c + -4t)(6c + -5t) = 0Subproblem 1
Set the factor '(3c + -4t)' equal to zero and attempt to solve: Simplifying 3c + -4t = 0 Solving 3c + -4t = 0 Move all terms containing c to the left, all other terms to the right. Add '4t' to each side of the equation. 3c + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 3c + 0 = 0 + 4t 3c = 0 + 4t Remove the zero: 3c = 4t Divide each side by '3'. c = 1.333333333t Simplifying c = 1.333333333tSubproblem 2
Set the factor '(6c + -5t)' equal to zero and attempt to solve: Simplifying 6c + -5t = 0 Solving 6c + -5t = 0 Move all terms containing c to the left, all other terms to the right. Add '5t' to each side of the equation. 6c + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 6c + 0 = 0 + 5t 6c = 0 + 5t Remove the zero: 6c = 5t Divide each side by '6'. c = 0.8333333333t Simplifying c = 0.8333333333tSolution
c = {1.333333333t, 0.8333333333t}
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