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Simplifying 25c2 + 15c3 = 0 Solving 25c2 + 15c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c2'. 5c2(5 + 3c) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(5 + 3c)' equal to zero and attempt to solve: Simplifying 5 + 3c = 0 Solving 5 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3c = 0 + -5 3c = 0 + -5 Combine like terms: 0 + -5 = -5 3c = -5 Divide each side by '3'. c = -1.666666667 Simplifying c = -1.666666667Solution
c = {0, -1.666666667}
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