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Simplifying 4c(7c + 3) = 0 Reorder the terms: 4c(3 + 7c) = 0 (3 * 4c + 7c * 4c) = 0 (12c + 28c2) = 0 Solving 12c + 28c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(3 + 7c) = 0 Ignore the factor 4.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 '(3 + 7c)' equal to zero and attempt to solve: Simplifying 3 + 7c = 0 Solving 3 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7c = 0 + -3 7c = 0 + -3 Combine like terms: 0 + -3 = -3 7c = -3 Divide each side by '7'. c = -0.4285714286 Simplifying c = -0.4285714286Solution
c = {0, -0.4285714286}
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