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Simplifying 9c2 + 30cd + 25d2 = 0 Reorder the terms: 30cd + 9c2 + 25d2 = 0 Solving 30cd + 9c2 + 25d2 = 0 Solving for variable 'c'. Factor a trinomial. (3c + 5d)(3c + 5d) = 0Subproblem 1
Set the factor '(3c + 5d)' equal to zero and attempt to solve: Simplifying 3c + 5d = 0 Solving 3c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 3c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 3c + 0 = 0 + -5d 3c = 0 + -5d Remove the zero: 3c = -5d Divide each side by '3'. c = -1.666666667d Simplifying c = -1.666666667dSubproblem 2
Set the factor '(3c + 5d)' equal to zero and attempt to solve: Simplifying 3c + 5d = 0 Solving 3c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 3c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 3c + 0 = 0 + -5d 3c = 0 + -5d Remove the zero: 3c = -5d Divide each side by '3'. c = -1.666666667d Simplifying c = -1.666666667dSolution
c = {-1.666666667d, -1.666666667d}
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