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Simplifying c2 + -3c = 14 + 2c Reorder the terms: -3c + c2 = 14 + 2c Solving -3c + c2 = 14 + 2c Solving for variable 'c'. Reorder the terms: -14 + -3c + -2c + c2 = 14 + 2c + -14 + -2c Combine like terms: -3c + -2c = -5c -14 + -5c + c2 = 14 + 2c + -14 + -2c Reorder the terms: -14 + -5c + c2 = 14 + -14 + 2c + -2c Combine like terms: 14 + -14 = 0 -14 + -5c + c2 = 0 + 2c + -2c -14 + -5c + c2 = 2c + -2c Combine like terms: 2c + -2c = 0 -14 + -5c + c2 = 0 Factor a trinomial. (-2 + -1c)(7 + -1c) = 0Subproblem 1
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 = -2Subproblem 2
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 = 7Solution
c = {-2, 7}
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