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Simplifying 81c2 + -180cd + 100d2 = 0 Reorder the terms: -180cd + 81c2 + 100d2 = 0 Solving -180cd + 81c2 + 100d2 = 0 Solving for variable 'c'. Factor a trinomial. (9c + -10d)(9c + -10d) = 0Subproblem 1
Set the factor '(9c + -10d)' equal to zero and attempt to solve: Simplifying 9c + -10d = 0 Solving 9c + -10d = 0 Move all terms containing c to the left, all other terms to the right. Add '10d' to each side of the equation. 9c + -10d + 10d = 0 + 10d Combine like terms: -10d + 10d = 0 9c + 0 = 0 + 10d 9c = 0 + 10d Remove the zero: 9c = 10d Divide each side by '9'. c = 1.111111111d Simplifying c = 1.111111111dSubproblem 2
Set the factor '(9c + -10d)' equal to zero and attempt to solve: Simplifying 9c + -10d = 0 Solving 9c + -10d = 0 Move all terms containing c to the left, all other terms to the right. Add '10d' to each side of the equation. 9c + -10d + 10d = 0 + 10d Combine like terms: -10d + 10d = 0 9c + 0 = 0 + 10d 9c = 0 + 10d Remove the zero: 9c = 10d Divide each side by '9'. c = 1.111111111d Simplifying c = 1.111111111dSolution
c = {1.111111111d, 1.111111111d}
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