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Simplifying 10c2 + 8cd = 0 Reorder the terms: 8cd + 10c2 = 0 Solving 8cd + 10c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(4d + 5c) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(4d + 5c)' equal to zero and attempt to solve: Simplifying 4d + 5c = 0 Reorder the terms: 5c + 4d = 0 Solving 5c + 4d = 0 Move all terms containing c to the left, all other terms to the right. Add '-4d' to each side of the equation. 5c + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 5c + 0 = 0 + -4d 5c = 0 + -4d Remove the zero: 5c = -4d Divide each side by '5'. c = -0.8d Simplifying c = -0.8dSolution
c = {0, -0.8d}
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