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Simplifying 25c2 + 90cd + 81d2 = 0 Reorder the terms: 90cd + 25c2 + 81d2 = 0 Solving 90cd + 25c2 + 81d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 9d)(5c + 9d) = 0Subproblem 1
Set the factor '(5c + 9d)' equal to zero and attempt to solve: Simplifying 5c + 9d = 0 Solving 5c + 9d = 0 Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. 5c + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 5c + 0 = 0 + -9d 5c = 0 + -9d Remove the zero: 5c = -9d Divide each side by '5'. c = -1.8d Simplifying c = -1.8dSubproblem 2
Set the factor '(5c + 9d)' equal to zero and attempt to solve: Simplifying 5c + 9d = 0 Solving 5c + 9d = 0 Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. 5c + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 5c + 0 = 0 + -9d 5c = 0 + -9d Remove the zero: 5c = -9d Divide each side by '5'. c = -1.8d Simplifying c = -1.8dSolution
c = {-1.8d, -1.8d}
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