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Simplifying 56c2 + 19ct + -15t2 = 0 Reorder the terms: 19ct + 56c2 + -15t2 = 0 Solving 19ct + 56c2 + -15t2 = 0 Solving for variable 'c'. Factor a trinomial. (8c + -3t)(7c + 5t) = 0Subproblem 1
Set the factor '(8c + -3t)' equal to zero and attempt to solve: Simplifying 8c + -3t = 0 Solving 8c + -3t = 0 Move all terms containing c to the left, all other terms to the right. Add '3t' to each side of the equation. 8c + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 8c + 0 = 0 + 3t 8c = 0 + 3t Remove the zero: 8c = 3t Divide each side by '8'. c = 0.375t Simplifying c = 0.375tSubproblem 2
Set the factor '(7c + 5t)' equal to zero and attempt to solve: Simplifying 7c + 5t = 0 Solving 7c + 5t = 0 Move all terms containing c to the left, all other terms to the right. Add '-5t' to each side of the equation. 7c + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 7c + 0 = 0 + -5t 7c = 0 + -5t Remove the zero: 7c = -5t Divide each side by '7'. c = -0.7142857143t Simplifying c = -0.7142857143tSolution
c = {0.375t, -0.7142857143t}
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