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Simplifying 4c2 + -7c + -2 = 0 Reorder the terms: -2 + -7c + 4c2 = 0 Solving -2 + -7c + 4c2 = 0 Solving for variable 'c'. Factor a trinomial. (-1 + -4c)(2 + -1c) = 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 '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 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 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {-0.25, 2}
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