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Simplifying 9cd + -162c2 + d2 = 0 Solving 9cd + -162c2 + d2 = 0 Solving for variable 'c'. Factor a trinomial. (-18c + -1d)(9c + -1d) = 0Subproblem 1
Set the factor '(-18c + -1d)' equal to zero and attempt to solve: Simplifying -18c + -1d = 0 Solving -18c + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. -18c + -1d + d = 0 + d Combine like terms: -1d + d = 0 -18c + 0 = 0 + d -18c = 0 + d Remove the zero: -18c = d Divide each side by '-18'. c = -0.05555555556d Simplifying c = -0.05555555556dSubproblem 2
Set the factor '(9c + -1d)' equal to zero and attempt to solve: Simplifying 9c + -1d = 0 Solving 9c + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. 9c + -1d + d = 0 + d Combine like terms: -1d + d = 0 9c + 0 = 0 + d 9c = 0 + d Remove the zero: 9c = d Divide each side by '9'. c = 0.1111111111d Simplifying c = 0.1111111111dSolution
c = {-0.05555555556d, 0.1111111111d}
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