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Simplifying 10c2 + 39cd + 35d2 = 0 Reorder the terms: 39cd + 10c2 + 35d2 = 0 Solving 39cd + 10c2 + 35d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 7d)(2c + 5d) = 0Subproblem 1
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 = -1.4dSubproblem 2
Set the factor '(2c + 5d)' equal to zero and attempt to solve: Simplifying 2c + 5d = 0 Solving 2c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 2c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 2c + 0 = 0 + -5d 2c = 0 + -5d Remove the zero: 2c = -5d Divide each side by '2'. c = -2.5d Simplifying c = -2.5dSolution
c = {-1.4d, -2.5d}
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