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Simplifying 3c2 + -8c + -16 = 0 Reorder the terms: -16 + -8c + 3c2 = 0 Solving -16 + -8c + 3c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -3c)(4 + -1c) = 0Subproblem 1
Set the factor '(-4 + -3c)' equal to zero and attempt to solve: Simplifying -4 + -3c = 0 Solving -4 + -3c = 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 + -3c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3c = 0 + 4 -3c = 0 + 4 Combine like terms: 0 + 4 = 4 -3c = 4 Divide each side by '-3'. c = -1.333333333 Simplifying c = -1.333333333Subproblem 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 = {-1.333333333, 4}
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