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Simplifying 8c2 + -18c + -5 = 0 Reorder the terms: -5 + -18c + 8c2 = 0 Solving -5 + -18c + 8c2 = 0 Solving for variable 'c'. Factor a trinomial. (-1 + -4c)(5 + -2c) = 0Subproblem 1
Set the factor '(-1 + -4c)' equal to zero and attempt to solve: Simplifying -1 + -4c = 0 Solving -1 + -4c = 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 + -4c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4c = 0 + 1 -4c = 0 + 1 Combine like terms: 0 + 1 = 1 -4c = 1 Divide each side by '-4'. c = -0.25 Simplifying c = -0.25Subproblem 2
Set the factor '(5 + -2c)' equal to zero and attempt to solve: Simplifying 5 + -2c = 0 Solving 5 + -2c = 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 + -2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2c = 0 + -5 -2c = 0 + -5 Combine like terms: 0 + -5 = -5 -2c = -5 Divide each side by '-2'. c = 2.5 Simplifying c = 2.5Solution
c = {-0.25, 2.5}
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