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Simplifying 7c2 + 8c + 1 = 0 Reorder the terms: 1 + 8c + 7c2 = 0 Solving 1 + 8c + 7c2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + c)(1 + 7c) = 0Subproblem 1
Set the factor '(1 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 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 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1Subproblem 2
Set the factor '(1 + 7c)' equal to zero and attempt to solve: Simplifying 1 + 7c = 0 Solving 1 + 7c = 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 + 7c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7c = 0 + -1 7c = 0 + -1 Combine like terms: 0 + -1 = -1 7c = -1 Divide each side by '7'. c = -0.1428571429 Simplifying c = -0.1428571429Solution
c = {-1, -0.1428571429}
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