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Simplifying 3c3 + 7c2 = 0 Reorder the terms: 7c2 + 3c3 = 0 Solving 7c2 + 3c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2'. c2(7 + 3c) = 0Subproblem 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 '(7 + 3c)' equal to zero and attempt to solve: Simplifying 7 + 3c = 0 Solving 7 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3c = 0 + -7 3c = 0 + -7 Combine like terms: 0 + -7 = -7 3c = -7 Divide each side by '3'. c = -2.333333333 Simplifying c = -2.333333333Solution
c = {0, -2.333333333}
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