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Simplifying 18c2 + 4 = 21c + 4 Reorder the terms: 4 + 18c2 = 21c + 4 Reorder the terms: 4 + 18c2 = 4 + 21c Add '-4' to each side of the equation. 4 + -4 + 18c2 = 4 + -4 + 21c Combine like terms: 4 + -4 = 0 0 + 18c2 = 4 + -4 + 21c 18c2 = 4 + -4 + 21c Combine like terms: 4 + -4 = 0 18c2 = 0 + 21c 18c2 = 21c Solving 18c2 = 21c Solving for variable 'c'. Reorder the terms: -21c + 18c2 = 21c + -21c Combine like terms: 21c + -21c = 0 -21c + 18c2 = 0 Factor out the Greatest Common Factor (GCF), '3c'. 3c(-7 + 6c) = 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 '(-7 + 6c)' equal to zero and attempt to solve: Simplifying -7 + 6c = 0 Solving -7 + 6c = 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 + 6c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6c = 0 + 7 6c = 0 + 7 Combine like terms: 0 + 7 = 7 6c = 7 Divide each side by '6'. c = 1.166666667 Simplifying c = 1.166666667Solution
c = {0, 1.166666667}
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