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Simplifying c2 + -8ct + 16t2 = 0 Reorder the terms: -8ct + c2 + 16t2 = 0 Solving -8ct + c2 + 16t2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -4t)(c + -4t) = 0Subproblem 1
Set the factor '(c + -4t)' equal to zero and attempt to solve: Simplifying c + -4t = 0 Solving c + -4t = 0 Move all terms containing c to the left, all other terms to the right. Add '4t' to each side of the equation. c + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 c + 0 = 0 + 4t c = 0 + 4t Remove the zero: c = 4t Simplifying c = 4tSubproblem 2
Set the factor '(c + -4t)' equal to zero and attempt to solve: Simplifying c + -4t = 0 Solving c + -4t = 0 Move all terms containing c to the left, all other terms to the right. Add '4t' to each side of the equation. c + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 c + 0 = 0 + 4t c = 0 + 4t Remove the zero: c = 4t Simplifying c = 4tSolution
c = {4t, 4t}
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