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Simplifying c2 = 8 + -2c Solving c2 = 8 + -2c Solving for variable 'c'. Reorder the terms: -8 + 2c + c2 = 8 + -2c + -8 + 2c Reorder the terms: -8 + 2c + c2 = 8 + -8 + -2c + 2c Combine like terms: 8 + -8 = 0 -8 + 2c + c2 = 0 + -2c + 2c -8 + 2c + c2 = -2c + 2c Combine like terms: -2c + 2c = 0 -8 + 2c + c2 = 0 Factor a trinomial. (-4 + -1c)(2 + -1c) = 0Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve: Simplifying -4 + -1c = 0 Solving -4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = 0 + 4 -1c = 0 + 4 Combine like terms: 0 + 4 = 4 -1c = 4 Divide each side by '-1'. c = -4 Simplifying c = -4Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {-4, 2}
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