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Simplifying 4c2 + 20ct + 25t2 = 0 Reorder the terms: 20ct + 4c2 + 25t2 = 0 Solving 20ct + 4c2 + 25t2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + 5t)(2c + 5t) = 0Subproblem 1
Set the factor '(2c + 5t)' equal to zero and attempt to solve: Simplifying 2c + 5t = 0 Solving 2c + 5t = 0 Move all terms containing c to the left, all other terms to the right. Add '-5t' to each side of the equation. 2c + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 2c + 0 = 0 + -5t 2c = 0 + -5t Remove the zero: 2c = -5t Divide each side by '2'. c = -2.5t Simplifying c = -2.5tSubproblem 2
Set the factor '(2c + 5t)' equal to zero and attempt to solve: Simplifying 2c + 5t = 0 Solving 2c + 5t = 0 Move all terms containing c to the left, all other terms to the right. Add '-5t' to each side of the equation. 2c + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 2c + 0 = 0 + -5t 2c = 0 + -5t Remove the zero: 2c = -5t Divide each side by '2'. c = -2.5t Simplifying c = -2.5tSolution
c = {-2.5t, -2.5t}
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