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Simplifying -1c2 + -6c = -7 Reorder the terms: -6c + -1c2 = -7 Solving -6c + -1c2 = -7 Solving for variable 'c'. Reorder the terms: 7 + -6c + -1c2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -6c + -1c2 = 0 Factor a trinomial. (1 + -1c)(7 + c) = 0Subproblem 1
Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 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 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Subproblem 2
Set the factor '(7 + c)' equal to zero and attempt to solve: Simplifying 7 + c = 0 Solving 7 + c = 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 + c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + c = 0 + -7 c = 0 + -7 Combine like terms: 0 + -7 = -7 c = -7 Simplifying c = -7Solution
c = {1, -7}
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