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Simplifying 5c2 + -5vc + -1c = 0 Reorder the terms: -1c + -5cv + 5c2 = 0 Solving -1c + -5cv + 5c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-1 + -5v + 5c) = 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 '(-1 + -5v + 5c)' equal to zero and attempt to solve: Simplifying -1 + -5v + 5c = 0 Reorder the terms: -1 + 5c + -5v = 0 Solving -1 + 5c + -5v = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5c + 1 + -5v = 0 + 1 Reorder the terms: -1 + 1 + 5c + -5v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5c + -5v = 0 + 1 5c + -5v = 0 + 1 Combine like terms: 0 + 1 = 1 5c + -5v = 1 Add '5v' to each side of the equation. 5c + -5v + 5v = 1 + 5v Combine like terms: -5v + 5v = 0 5c + 0 = 1 + 5v 5c = 1 + 5v Divide each side by '5'. c = 0.2 + v Simplifying c = 0.2 + vSolution
c = {0, 0.2 + v}
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