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Simplifying 3c2 + -20c + -7 = 0 Reorder the terms: -7 + -20c + 3c2 = 0 Solving -7 + -20c + 3c2 = 0 Solving for variable 'c'. Factor a trinomial. (-1 + -3c)(7 + -1c) = 0Subproblem 1
Set the factor '(-1 + -3c)' equal to zero and attempt to solve: Simplifying -1 + -3c = 0 Solving -1 + -3c = 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 + -3c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3c = 0 + 1 -3c = 0 + 1 Combine like terms: 0 + 1 = 1 -3c = 1 Divide each side by '-3'. c = -0.3333333333 Simplifying c = -0.3333333333Subproblem 2
Set the factor '(7 + -1c)' equal to zero and attempt to solve: Simplifying 7 + -1c = 0 Solving 7 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1c = 0 + -7 -1c = 0 + -7 Combine like terms: 0 + -7 = -7 -1c = -7 Divide each side by '-1'. c = 7 Simplifying c = 7Solution
c = {-0.3333333333, 7}
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