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Simplifying c2 = -20c + -100 Reorder the terms: c2 = -100 + -20c Solving c2 = -100 + -20c Solving for variable 'c'. Reorder the terms: 100 + 20c + c2 = -100 + -20c + 100 + 20c Reorder the terms: 100 + 20c + c2 = -100 + 100 + -20c + 20c Combine like terms: -100 + 100 = 0 100 + 20c + c2 = 0 + -20c + 20c 100 + 20c + c2 = -20c + 20c Combine like terms: -20c + 20c = 0 100 + 20c + c2 = 0 Factor a trinomial. (10 + c)(10 + c) = 0Subproblem 1
Set the factor '(10 + c)' equal to zero and attempt to solve: Simplifying 10 + c = 0 Solving 10 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + c = 0 + -10 c = 0 + -10 Combine like terms: 0 + -10 = -10 c = -10 Simplifying c = -10Subproblem 2
Set the factor '(10 + c)' equal to zero and attempt to solve: Simplifying 10 + c = 0 Solving 10 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + c = 0 + -10 c = 0 + -10 Combine like terms: 0 + -10 = -10 c = -10 Simplifying c = -10Solution
c = {-10, -10}
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