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Simplifying 25c2 + 20ct + 4t2 = 0 Reorder the terms: 20ct + 25c2 + 4t2 = 0 Solving 20ct + 25c2 + 4t2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 2t)(5c + 2t) = 0Subproblem 1
Set the factor '(5c + 2t)' equal to zero and attempt to solve: Simplifying 5c + 2t = 0 Solving 5c + 2t = 0 Move all terms containing c to the left, all other terms to the right. Add '-2t' to each side of the equation. 5c + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 5c + 0 = 0 + -2t 5c = 0 + -2t Remove the zero: 5c = -2t Divide each side by '5'. c = -0.4t Simplifying c = -0.4tSubproblem 2
Set the factor '(5c + 2t)' equal to zero and attempt to solve: Simplifying 5c + 2t = 0 Solving 5c + 2t = 0 Move all terms containing c to the left, all other terms to the right. Add '-2t' to each side of the equation. 5c + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 5c + 0 = 0 + -2t 5c = 0 + -2t Remove the zero: 5c = -2t Divide each side by '5'. c = -0.4t Simplifying c = -0.4tSolution
c = {-0.4t, -0.4t}
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