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Simplifying 30c2 + 19cd + -63d2 = 0 Reorder the terms: 19cd + 30c2 + -63d2 = 0 Solving 19cd + 30c2 + -63d2 = 0 Solving for variable 'c'. Factor a trinomial. (6c + -7d)(5c + 9d) = 0Subproblem 1
Set the factor '(6c + -7d)' equal to zero and attempt to solve: Simplifying 6c + -7d = 0 Solving 6c + -7d = 0 Move all terms containing c to the left, all other terms to the right. Add '7d' to each side of the equation. 6c + -7d + 7d = 0 + 7d Combine like terms: -7d + 7d = 0 6c + 0 = 0 + 7d 6c = 0 + 7d Remove the zero: 6c = 7d Divide each side by '6'. c = 1.166666667d Simplifying c = 1.166666667dSubproblem 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 = {1.166666667d, -1.8d}
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