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Simplifying 36c2 + 49t2 + -84ct = 0 Reorder the terms: -84ct + 36c2 + 49t2 = 0 Solving -84ct + 36c2 + 49t2 = 0 Solving for variable 'c'. Factor a trinomial. (6c + -7t)(6c + -7t) = 0Subproblem 1
Set the factor '(6c + -7t)' equal to zero and attempt to solve: Simplifying 6c + -7t = 0 Solving 6c + -7t = 0 Move all terms containing c to the left, all other terms to the right. Add '7t' to each side of the equation. 6c + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 6c + 0 = 0 + 7t 6c = 0 + 7t Remove the zero: 6c = 7t Divide each side by '6'. c = 1.166666667t Simplifying c = 1.166666667tSubproblem 2
Set the factor '(6c + -7t)' equal to zero and attempt to solve: Simplifying 6c + -7t = 0 Solving 6c + -7t = 0 Move all terms containing c to the left, all other terms to the right. Add '7t' to each side of the equation. 6c + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 6c + 0 = 0 + 7t 6c = 0 + 7t Remove the zero: 6c = 7t Divide each side by '6'. c = 1.166666667t Simplifying c = 1.166666667tSolution
c = {1.166666667t, 1.166666667t}
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