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Simplifying 16c2 + 40ct + 25t2 = 0 Reorder the terms: 40ct + 16c2 + 25t2 = 0 Solving 40ct + 16c2 + 25t2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + 5t)(4c + 5t) = 0Subproblem 1
Set the factor '(4c + 5t)' equal to zero and attempt to solve: Simplifying 4c + 5t = 0 Solving 4c + 5t = 0 Move all terms containing c to the left, all other terms to the right. Add '-5t' to each side of the equation. 4c + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 4c + 0 = 0 + -5t 4c = 0 + -5t Remove the zero: 4c = -5t Divide each side by '4'. c = -1.25t Simplifying c = -1.25tSubproblem 2
Set the factor '(4c + 5t)' equal to zero and attempt to solve: Simplifying 4c + 5t = 0 Solving 4c + 5t = 0 Move all terms containing c to the left, all other terms to the right. Add '-5t' to each side of the equation. 4c + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 4c + 0 = 0 + -5t 4c = 0 + -5t Remove the zero: 4c = -5t Divide each side by '4'. c = -1.25t Simplifying c = -1.25tSolution
c = {-1.25t, -1.25t}
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