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Simplifying 8c2 = 10c Solving 8c2 = 10c Solving for variable 'c'. Reorder the terms: -10c + 8c2 = 10c + -10c Combine like terms: 10c + -10c = 0 -10c + 8c2 = 0 Factor out the Greatest Common Factor (GCF), '2c'. 2c(-5 + 4c) = 0 Ignore the factor 2.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 + 4c)' equal to zero and attempt to solve: Simplifying -5 + 4c = 0 Solving -5 + 4c = 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 + 4c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4c = 0 + 5 4c = 0 + 5 Combine like terms: 0 + 5 = 5 4c = 5 Divide each side by '4'. c = 1.25 Simplifying c = 1.25Solution
c = {0, 1.25}
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