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Simplifying (c2 + -5) = (4c + -9) Reorder the terms: (-5 + c2) = (4c + -9) Remove parenthesis around (-5 + c2) -5 + c2 = (4c + -9) Reorder the terms: -5 + c2 = (-9 + 4c) Remove parenthesis around (-9 + 4c) -5 + c2 = -9 + 4c Solving -5 + c2 = -9 + 4c Solving for variable 'c'. Reorder the terms: -5 + 9 + -4c + c2 = -9 + 4c + 9 + -4c Combine like terms: -5 + 9 = 4 4 + -4c + c2 = -9 + 4c + 9 + -4c Reorder the terms: 4 + -4c + c2 = -9 + 9 + 4c + -4c Combine like terms: -9 + 9 = 0 4 + -4c + c2 = 0 + 4c + -4c 4 + -4c + c2 = 4c + -4c Combine like terms: 4c + -4c = 0 4 + -4c + c2 = 0 Factor a trinomial. (2 + -1c)(2 + -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 '(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 = {2, 2}
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