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Simplifying 15c2 + -34cd + -77d2 = 0 Reorder the terms: -34cd + 15c2 + -77d2 = 0 Solving -34cd + 15c2 + -77d2 = 0 Solving for variable 'c'. Factor a trinomial. (3c + -11d)(5c + 7d) = 0Subproblem 1
Set the factor '(3c + -11d)' equal to zero and attempt to solve: Simplifying 3c + -11d = 0 Solving 3c + -11d = 0 Move all terms containing c to the left, all other terms to the right. Add '11d' to each side of the equation. 3c + -11d + 11d = 0 + 11d Combine like terms: -11d + 11d = 0 3c + 0 = 0 + 11d 3c = 0 + 11d Remove the zero: 3c = 11d Divide each side by '3'. c = 3.666666667d Simplifying c = 3.666666667dSubproblem 2
Set the factor '(5c + 7d)' equal to zero and attempt to solve: Simplifying 5c + 7d = 0 Solving 5c + 7d = 0 Move all terms containing c to the left, all other terms to the right. Add '-7d' to each side of the equation. 5c + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 5c + 0 = 0 + -7d 5c = 0 + -7d Remove the zero: 5c = -7d Divide each side by '5'. c = -1.4d Simplifying c = -1.4dSolution
c = {3.666666667d, -1.4d}
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