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Simplifying 4c2 + 21c + 5 = 0 Reorder the terms: 5 + 21c + 4c2 = 0 Solving 5 + 21c + 4c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + c)(1 + 4c) = 0Subproblem 1
Set the factor '(5 + c)' equal to zero and attempt to solve: Simplifying 5 + c = 0 Solving 5 + c = 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 + c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + c = 0 + -5 c = 0 + -5 Combine like terms: 0 + -5 = -5 c = -5 Simplifying c = -5Subproblem 2
Set the factor '(1 + 4c)' equal to zero and attempt to solve: Simplifying 1 + 4c = 0 Solving 1 + 4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4c = 0 + -1 4c = 0 + -1 Combine like terms: 0 + -1 = -1 4c = -1 Divide each side by '4'. c = -0.25 Simplifying c = -0.25Solution
c = {-5, -0.25}
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