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Simplifying 4c3 + -25c = 0 Reorder the terms: -25c + 4c3 = 0 Solving -25c + 4c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-25 + 4c2) = 0 Factor a difference between two squares. c((5 + 2c)(-5 + 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 '(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 = -2.5Subproblem 3
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, 2.5}
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