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Simplifying 5c2 + -13c + -6 = 0 Reorder the terms: -6 + -13c + 5c2 = 0 Solving -6 + -13c + 5c2 = 0 Solving for variable 'c'. Factor a trinomial. (-2 + -5c)(3 + -1c) = 0Subproblem 1
Set the factor '(-2 + -5c)' equal to zero and attempt to solve: Simplifying -2 + -5c = 0 Solving -2 + -5c = 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 + -5c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5c = 0 + 2 -5c = 0 + 2 Combine like terms: 0 + 2 = 2 -5c = 2 Divide each side by '-5'. c = -0.4 Simplifying c = -0.4Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {-0.4, 3}
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