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Simplifying (7c * 2c) + 13c = 21c Reorder the terms for easier multiplication: (7 * 2c * c) + 13c = 21c Multiply 7 * 2 (14c * c) + 13c = 21c Multiply c * c (14c2) + 13c = 21c Reorder the terms: 13c + (14c2) = 21c Solving 13c + (14c2) = 21c Solving for variable 'c'. Reorder the terms: 13c + -21c + (14c2) = 21c + -21c Combine like terms: 13c + -21c = -8c -8c + (14c2) = 21c + -21c Combine like terms: 21c + -21c = 0 -8c + (14c2) = 0 Factor out the Greatest Common Factor (GCF), '2c'. 2c(-4 + (7c)) = 0 Ignore the factor 2.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 + (7c))' equal to zero and attempt to solve: Simplifying -4 + (7c) = 0 Solving -4 + (7c) = 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 + (7c) = 0 + 4 Combine like terms: -4 + 4 = 0 0 + (7c) = 0 + 4 (7c) = 0 + 4 Combine like terms: 0 + 4 = 4 (7c) = 4 Divide each side by '7'. c = 0.5714285714 Simplifying c = 0.5714285714Solution
c = {0, 0.5714285714}
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