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Simplifying 105c2 + 346c + 253 = 0 Reorder the terms: 253 + 346c + 105c2 = 0 Solving 253 + 346c + 105c2 = 0 Solving for variable 'c'. Factor a trinomial. (11 + 5c)(23 + 21c) = 0Subproblem 1
Set the factor '(11 + 5c)' equal to zero and attempt to solve: Simplifying 11 + 5c = 0 Solving 11 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5c = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5c = 0 + -11 5c = 0 + -11 Combine like terms: 0 + -11 = -11 5c = -11 Divide each side by '5'. c = -2.2 Simplifying c = -2.2Subproblem 2
Set the factor '(23 + 21c)' equal to zero and attempt to solve: Simplifying 23 + 21c = 0 Solving 23 + 21c = 0 Move all terms containing c to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 21c = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 21c = 0 + -23 21c = 0 + -23 Combine like terms: 0 + -23 = -23 21c = -23 Divide each side by '21'. c = -1.095238095 Simplifying c = -1.095238095Solution
c = {-2.2, -1.095238095}
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