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Simplifying (5c + -2c)(d + 4) = 0 Combine like terms: 5c + -2c = 3c (3c)(d + 4) = 0 Remove parenthesis around (3c) 3c(d + 4) = 0 Reorder the terms: 3c(4 + d) = 0 (4 * 3c + d * 3c) = 0 (12c + 3cd) = 0 Solving 12c + 3cd = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3c'. 3c(4 + d) = 0 Ignore the factor 3.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 '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Add '-1d' to each side of the equation. d + -1d = -4 + -1d Combine like terms: d + -1d = 0 0 = -4 + -1d Simplifying 0 = -4 + -1d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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