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Simplifying 4c2 + -100c = 0 Reorder the terms: -100c + 4c2 = 0 Solving -100c + 4c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(-25 + c) = 0 Ignore the factor 4.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 '(-25 + c)' equal to zero and attempt to solve: Simplifying -25 + c = 0 Solving -25 + c = 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 + c = 0 + 25 Combine like terms: -25 + 25 = 0 0 + c = 0 + 25 c = 0 + 25 Combine like terms: 0 + 25 = 25 c = 25 Simplifying c = 25Solution
c = {0, 25}
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