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Simplifying 25c2 + 40ct + 16t2 = 0 Reorder the terms: 40ct + 25c2 + 16t2 = 0 Solving 40ct + 25c2 + 16t2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 4t)(5c + 4t) = 0Subproblem 1
Set the factor '(5c + 4t)' equal to zero and attempt to solve: Simplifying 5c + 4t = 0 Solving 5c + 4t = 0 Move all terms containing c to the left, all other terms to the right. Add '-4t' to each side of the equation. 5c + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 5c + 0 = 0 + -4t 5c = 0 + -4t Remove the zero: 5c = -4t Divide each side by '5'. c = -0.8t Simplifying c = -0.8tSubproblem 2
Set the factor '(5c + 4t)' equal to zero and attempt to solve: Simplifying 5c + 4t = 0 Solving 5c + 4t = 0 Move all terms containing c to the left, all other terms to the right. Add '-4t' to each side of the equation. 5c + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 5c + 0 = 0 + -4t 5c = 0 + -4t Remove the zero: 5c = -4t Divide each side by '5'. c = -0.8t Simplifying c = -0.8tSolution
c = {-0.8t, -0.8t}
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