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Simplifying 25c3 + 15c2 = 0 Reorder the terms: 15c2 + 25c3 = 0 Solving 15c2 + 25c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c2'. 5c2(3 + 5c) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(3 + 5c)' equal to zero and attempt to solve: Simplifying 3 + 5c = 0 Solving 3 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5c = 0 + -3 5c = 0 + -3 Combine like terms: 0 + -3 = -3 5c = -3 Divide each side by '5'. c = -0.6 Simplifying c = -0.6Solution
c = {0, -0.6}
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