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Simplifying 3c(5c + -7) = 0 Reorder the terms: 3c(-7 + 5c) = 0 (-7 * 3c + 5c * 3c) = 0 (-21c + 15c2) = 0 Solving -21c + 15c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c'. 3c(-7 + 5c) = 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 + 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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