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Simplifying 7c2 + 55c + -8 = 0 Reorder the terms: -8 + 55c + 7c2 = 0 Solving -8 + 55c + 7c2 = 0 Solving for variable 'c'. Factor a trinomial. (-8 + -1c)(1 + -7c) = 0Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve: Simplifying -8 + -1c = 0 Solving -8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = 0 + 8 -1c = 0 + 8 Combine like terms: 0 + 8 = 8 -1c = 8 Divide each side by '-1'. c = -8 Simplifying c = -8Subproblem 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 = {-8, 0.1428571429}
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