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Simplifying c2 + 25c + c2 = 0 Reorder the terms: 25c + c2 + c2 = 0 Combine like terms: c2 + c2 = 2c2 25c + 2c2 = 0 Solving 25c + 2c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(25 + 2c) = 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 + 2c)' equal to zero and attempt to solve: Simplifying 25 + 2c = 0 Solving 25 + 2c = 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 + 2c = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2c = 0 + -25 2c = 0 + -25 Combine like terms: 0 + -25 = -25 2c = -25 Divide each side by '2'. c = -12.5 Simplifying c = -12.5Solution
c = {0, -12.5}
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