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Simplifying c2 = 24 + -2c Solving c2 = 24 + -2c Solving for variable 'c'. Reorder the terms: -24 + 2c + c2 = 24 + -2c + -24 + 2c Reorder the terms: -24 + 2c + c2 = 24 + -24 + -2c + 2c Combine like terms: 24 + -24 = 0 -24 + 2c + c2 = 0 + -2c + 2c -24 + 2c + c2 = -2c + 2c Combine like terms: -2c + 2c = 0 -24 + 2c + c2 = 0 Factor a trinomial. (-6 + -1c)(4 + -1c) = 0Subproblem 1
Set the factor '(-6 + -1c)' equal to zero and attempt to solve: Simplifying -6 + -1c = 0 Solving -6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1c = 0 + 6 -1c = 0 + 6 Combine like terms: 0 + 6 = 6 -1c = 6 Divide each side by '-1'. c = -6 Simplifying c = -6Subproblem 2
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 = 4Solution
c = {-6, 4}
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