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Simplifying 25c2 + 80cd + 64d2 = 0 Reorder the terms: 80cd + 25c2 + 64d2 = 0 Solving 80cd + 25c2 + 64d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 8d)(5c + 8d) = 0Subproblem 1
Set the factor '(5c + 8d)' equal to zero and attempt to solve: Simplifying 5c + 8d = 0 Solving 5c + 8d = 0 Move all terms containing c to the left, all other terms to the right. Add '-8d' to each side of the equation. 5c + 8d + -8d = 0 + -8d Combine like terms: 8d + -8d = 0 5c + 0 = 0 + -8d 5c = 0 + -8d Remove the zero: 5c = -8d Divide each side by '5'. c = -1.6d Simplifying c = -1.6dSubproblem 2
Set the factor '(5c + 8d)' equal to zero and attempt to solve: Simplifying 5c + 8d = 0 Solving 5c + 8d = 0 Move all terms containing c to the left, all other terms to the right. Add '-8d' to each side of the equation. 5c + 8d + -8d = 0 + -8d Combine like terms: 8d + -8d = 0 5c + 0 = 0 + -8d 5c = 0 + -8d Remove the zero: 5c = -8d Divide each side by '5'. c = -1.6d Simplifying c = -1.6dSolution
c = {-1.6d, -1.6d}
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