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Simplifying 3(c + -5) * c = 10c Reorder the terms: 3(-5 + c) * c = 10c Reorder the terms for easier multiplication: 3c(-5 + c) = 10c (-5 * 3c + c * 3c) = 10c (-15c + 3c2) = 10c Solving -15c + 3c2 = 10c Solving for variable 'c'. Reorder the terms: -15c + -10c + 3c2 = 10c + -10c Combine like terms: -15c + -10c = -25c -25c + 3c2 = 10c + -10c Combine like terms: 10c + -10c = 0 -25c + 3c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-25 + 3c) = 0Subproblem 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 '(-25 + 3c)' equal to zero and attempt to solve: Simplifying -25 + 3c = 0 Solving -25 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 3c = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 3c = 0 + 25 3c = 0 + 25 Combine like terms: 0 + 25 = 25 3c = 25 Divide each side by '3'. c = 8.333333333 Simplifying c = 8.333333333Solution
c = {0, 8.333333333}
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