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Simplifying c2 = 5c + 84 Reorder the terms: c2 = 84 + 5c Solving c2 = 84 + 5c Solving for variable 'c'. Reorder the terms: -84 + -5c + c2 = 84 + 5c + -84 + -5c Reorder the terms: -84 + -5c + c2 = 84 + -84 + 5c + -5c Combine like terms: 84 + -84 = 0 -84 + -5c + c2 = 0 + 5c + -5c -84 + -5c + c2 = 5c + -5c Combine like terms: 5c + -5c = 0 -84 + -5c + c2 = 0 Factor a trinomial. (-7 + -1c)(12 + -1c) = 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 + -1c)' equal to zero and attempt to solve: Simplifying 12 + -1c = 0 Solving 12 + -1c = 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 + -1c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1c = 0 + -12 -1c = 0 + -12 Combine like terms: 0 + -12 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12Solution
c = {-7, 12}
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