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