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Simplifying 6c(7c + -6) = 0 Reorder the terms: 6c(-6 + 7c) = 0 (-6 * 6c + 7c * 6c) = 0 (-36c + 42c2) = 0 Solving -36c + 42c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6c'. 6c(-6 + 7c) = 0 Ignore the factor 6.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 '(-6 + 7c)' equal to zero and attempt to solve: Simplifying -6 + 7c = 0 Solving -6 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7c = 0 + 6 7c = 0 + 6 Combine like terms: 0 + 6 = 6 7c = 6 Divide each side by '7'. c = 0.8571428571 Simplifying c = 0.8571428571Solution
c = {0, 0.8571428571}
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