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Simplifying 30c2 + c = 20 Reorder the terms: c + 30c2 = 20 Solving c + 30c2 = 20 Solving for variable 'c'. Reorder the terms: -20 + c + 30c2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + c + 30c2 = 0 Factor a trinomial. (-5 + -6c)(4 + -5c) = 0Subproblem 1
Set the factor '(-5 + -6c)' equal to zero and attempt to solve: Simplifying -5 + -6c = 0 Solving -5 + -6c = 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 + -6c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6c = 0 + 5 -6c = 0 + 5 Combine like terms: 0 + 5 = 5 -6c = 5 Divide each side by '-6'. c = -0.8333333333 Simplifying c = -0.8333333333Subproblem 2
Set the factor '(4 + -5c)' equal to zero and attempt to solve: Simplifying 4 + -5c = 0 Solving 4 + -5c = 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 + -5c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = 0 + -4 -5c = 0 + -4 Combine like terms: 0 + -4 = -4 -5c = -4 Divide each side by '-5'. c = 0.8 Simplifying c = 0.8Solution
c = {-0.8333333333, 0.8}
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