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Simplifying -1c2 + -5c + 84 = 0 Reorder the terms: 84 + -5c + -1c2 = 0 Solving 84 + -5c + -1c2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + -1c)(12 + c) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(12 + c)' equal to zero and attempt to solve: Simplifying 12 + c = 0 Solving 12 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + c = 0 + -12 c = 0 + -12 Combine like terms: 0 + -12 = -12 c = -12 Simplifying c = -12Solution
c = {7, -12}
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