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Simplifying 7c(5c + 7) = 0 Reorder the terms: 7c(7 + 5c) = 0 (7 * 7c + 5c * 7c) = 0 (49c + 35c2) = 0 Solving 49c + 35c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '7c'. 7c(7 + 5c) = 0 Ignore the factor 7.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 + 5c)' equal to zero and attempt to solve: Simplifying 7 + 5c = 0 Solving 7 + 5c = 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 + 5c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5c = 0 + -7 5c = 0 + -7 Combine like terms: 0 + -7 = -7 5c = -7 Divide each side by '5'. c = -1.4 Simplifying c = -1.4Solution
c = {0, -1.4}
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