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Simplifying 3c(10c + 7) = 0 Reorder the terms: 3c(7 + 10c) = 0 (7 * 3c + 10c * 3c) = 0 (21c + 30c2) = 0 Solving 21c + 30c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c'. 3c(7 + 10c) = 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 + 10c)' equal to zero and attempt to solve: Simplifying 7 + 10c = 0 Solving 7 + 10c = 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 + 10c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10c = 0 + -7 10c = 0 + -7 Combine like terms: 0 + -7 = -7 10c = -7 Divide each side by '10'. c = -0.7 Simplifying c = -0.7Solution
c = {0, -0.7}
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