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Simplifying 81c2 + 90cd + 25d2 = 0 Reorder the terms: 90cd + 81c2 + 25d2 = 0 Solving 90cd + 81c2 + 25d2 = 0 Solving for variable 'c'. Factor a trinomial. (9c + 5d)(9c + 5d) = 0Subproblem 1
Set the factor '(9c + 5d)' equal to zero and attempt to solve: Simplifying 9c + 5d = 0 Solving 9c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 9c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 9c + 0 = 0 + -5d 9c = 0 + -5d Remove the zero: 9c = -5d Divide each side by '9'. c = -0.5555555556d Simplifying c = -0.5555555556dSubproblem 2
Set the factor '(9c + 5d)' equal to zero and attempt to solve: Simplifying 9c + 5d = 0 Solving 9c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 9c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 9c + 0 = 0 + -5d 9c = 0 + -5d Remove the zero: 9c = -5d Divide each side by '9'. c = -0.5555555556d Simplifying c = -0.5555555556dSolution
c = {-0.5555555556d, -0.5555555556d}
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