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Simplifying 20c2 + -17ct + -63t2 = 0 Reorder the terms: -17ct + 20c2 + -63t2 = 0 Solving -17ct + 20c2 + -63t2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + -9t)(5c + 7t) = 0Subproblem 1
Set the factor '(4c + -9t)' equal to zero and attempt to solve: Simplifying 4c + -9t = 0 Solving 4c + -9t = 0 Move all terms containing c to the left, all other terms to the right. Add '9t' to each side of the equation. 4c + -9t + 9t = 0 + 9t Combine like terms: -9t + 9t = 0 4c + 0 = 0 + 9t 4c = 0 + 9t Remove the zero: 4c = 9t Divide each side by '4'. c = 2.25t Simplifying c = 2.25tSubproblem 2
Set the factor '(5c + 7t)' equal to zero and attempt to solve: Simplifying 5c + 7t = 0 Solving 5c + 7t = 0 Move all terms containing c to the left, all other terms to the right. Add '-7t' to each side of the equation. 5c + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 5c + 0 = 0 + -7t 5c = 0 + -7t Remove the zero: 5c = -7t Divide each side by '5'. c = -1.4t Simplifying c = -1.4tSolution
c = {2.25t, -1.4t}
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