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Simplifying 5c2 + 3cd + -2d2 = 0 Reorder the terms: 3cd + 5c2 + -2d2 = 0 Solving 3cd + 5c2 + -2d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + -2d)(c + d) = 0Subproblem 1
Set the factor '(5c + -2d)' equal to zero and attempt to solve: Simplifying 5c + -2d = 0 Solving 5c + -2d = 0 Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. 5c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 5c + 0 = 0 + 2d 5c = 0 + 2d Remove the zero: 5c = 2d Divide each side by '5'. c = 0.4d Simplifying c = 0.4dSubproblem 2
Set the factor '(c + d)' equal to zero and attempt to solve: Simplifying c + d = 0 Solving c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 c + 0 = 0 + -1d c = 0 + -1d Remove the zero: c = -1d Simplifying c = -1dSolution
c = {0.4d, -1d}
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