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Simplifying 15c(2c + -5) = 0 Reorder the terms: 15c(-5 + 2c) = 0 (-5 * 15c + 2c * 15c) = 0 (-75c + 30c2) = 0 Solving -75c + 30c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '15c'. 15c(-5 + 2c) = 0 Ignore the factor 15.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 '(-5 + 2c)' equal to zero and attempt to solve: Simplifying -5 + 2c = 0 Solving -5 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 0 + 5 2c = 0 + 5 Combine like terms: 0 + 5 = 5 2c = 5 Divide each side by '2'. c = 2.5 Simplifying c = 2.5Solution
c = {0, 2.5}
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