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Simplifying 8c2 + -31c + -4 = 0 Reorder the terms: -4 + -31c + 8c2 = 0 Solving -4 + -31c + 8c2 = 0 Solving for variable 'c'. Factor a trinomial. (-1 + -8c)(4 + -1c) = 0Subproblem 1
Set the factor '(-1 + -8c)' equal to zero and attempt to solve: Simplifying -1 + -8c = 0 Solving -1 + -8c = 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 + -8c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8c = 0 + 1 -8c = 0 + 1 Combine like terms: 0 + 1 = 1 -8c = 1 Divide each side by '-8'. c = -0.125 Simplifying c = -0.125Subproblem 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 = {-0.125, 4}
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