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Simplifying 42c2 + 19cd + -35d2 = 0 Reorder the terms: 19cd + 42c2 + -35d2 = 0 Solving 19cd + 42c2 + -35d2 = 0 Solving for variable 'c'. Factor a trinomial. (7c + -5d)(6c + 7d) = 0Subproblem 1
Set the factor '(7c + -5d)' equal to zero and attempt to solve: Simplifying 7c + -5d = 0 Solving 7c + -5d = 0 Move all terms containing c to the left, all other terms to the right. Add '5d' to each side of the equation. 7c + -5d + 5d = 0 + 5d Combine like terms: -5d + 5d = 0 7c + 0 = 0 + 5d 7c = 0 + 5d Remove the zero: 7c = 5d Divide each side by '7'. c = 0.7142857143d Simplifying c = 0.7142857143dSubproblem 2
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 = -1.166666667dSolution
c = {0.7142857143d, -1.166666667d}
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