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Simplifying c2 + -1c = 21 + 3c Reorder the terms: -1c + c2 = 21 + 3c Solving -1c + c2 = 21 + 3c Solving for variable 'c'. Reorder the terms: -21 + -1c + -3c + c2 = 21 + 3c + -21 + -3c Combine like terms: -1c + -3c = -4c -21 + -4c + c2 = 21 + 3c + -21 + -3c Reorder the terms: -21 + -4c + c2 = 21 + -21 + 3c + -3c Combine like terms: 21 + -21 = 0 -21 + -4c + c2 = 0 + 3c + -3c -21 + -4c + c2 = 3c + -3c Combine like terms: 3c + -3c = 0 -21 + -4c + c2 = 0 Factor a trinomial. (-3 + -1c)(7 + -1c) = 0Subproblem 1
Set the factor '(-3 + -1c)' equal to zero and attempt to solve: Simplifying -3 + -1c = 0 Solving -3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1c = 0 + 3 -1c = 0 + 3 Combine like terms: 0 + 3 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3Subproblem 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 = {-3, 7}
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