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Simplifying 6cd2 + 30c2 = 0 Solving 6cd2 + 30c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6c'. 6c(d2 + 5c) = 0 Ignore the factor 6.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 '(d2 + 5c)' equal to zero and attempt to solve: Simplifying d2 + 5c = 0 Reorder the terms: 5c + d2 = 0 Solving 5c + d2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d2' to each side of the equation. 5c + d2 + -1d2 = 0 + -1d2 Combine like terms: d2 + -1d2 = 0 5c + 0 = 0 + -1d2 5c = 0 + -1d2 Remove the zero: 5c = -1d2 Divide each side by '5'. c = -0.2d2 Simplifying c = -0.2d2Solution
c = {0, -0.2d2}
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