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Simplifying 12c + c2 + 20 = 0 Reorder the terms: 20 + 12c + c2 = 0 Solving 20 + 12c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (10 + c)(2 + 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 '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 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 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Simplifying c = -2Solution
c = {-10, -2}
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