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Simplifying 16c2 + 18c + 5 = 0 Reorder the terms: 5 + 18c + 16c2 = 0 Solving 5 + 18c + 16c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + 8c)(1 + 2c) = 0Subproblem 1
Set the factor '(5 + 8c)' equal to zero and attempt to solve: Simplifying 5 + 8c = 0 Solving 5 + 8c = 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 + 8c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8c = 0 + -5 8c = 0 + -5 Combine like terms: 0 + -5 = -5 8c = -5 Divide each side by '8'. c = -0.625 Simplifying c = -0.625Subproblem 2
Set the factor '(1 + 2c)' equal to zero and attempt to solve: Simplifying 1 + 2c = 0 Solving 1 + 2c = 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 + 2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 0 + -1 2c = 0 + -1 Combine like terms: 0 + -1 = -1 2c = -1 Divide each side by '2'. c = -0.5 Simplifying c = -0.5Solution
c = {-0.625, -0.5}
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