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Simplifying 5c2 + -16c + -8 = 2c Reorder the terms: -8 + -16c + 5c2 = 2c Solving -8 + -16c + 5c2 = 2c Solving for variable 'c'. Reorder the terms: -8 + -16c + -2c + 5c2 = 2c + -2c Combine like terms: -16c + -2c = -18c -8 + -18c + 5c2 = 2c + -2c Combine like terms: 2c + -2c = 0 -8 + -18c + 5c2 = 0 Factor a trinomial. (-2 + -5c)(4 + -1c) = 0Subproblem 1
Set the factor '(-2 + -5c)' equal to zero and attempt to solve: Simplifying -2 + -5c = 0 Solving -2 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5c = 0 + 2 -5c = 0 + 2 Combine like terms: 0 + 2 = 2 -5c = 2 Divide each side by '-5'. c = -0.4 Simplifying c = -0.4Subproblem 2
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 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 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-0.4, 4}
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