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Simplifying 5c3 + -4c = 0 Reorder the terms: -4c + 5c3 = 0 Solving -4c + 5c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-4 + 5c2) = 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 '(-4 + 5c2)' equal to zero and attempt to solve: Simplifying -4 + 5c2 = 0 Solving -4 + 5c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5c2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5c2 = 0 + 4 5c2 = 0 + 4 Combine like terms: 0 + 4 = 4 5c2 = 4 Divide each side by '5'. c2 = 0.8 Simplifying c2 = 0.8 Take the square root of each side: c = {-0.894427191, 0.894427191}Solution
c = {0, -0.894427191, 0.894427191}
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