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Simplifying (c + 11)(c + 11) = 0 Reorder the terms: (11 + c)(c + 11) = 0 Reorder the terms: (11 + c)(11 + c) = 0 Multiply (11 + c) * (11 + c) (11(11 + c) + c(11 + c)) = 0 ((11 * 11 + c * 11) + c(11 + c)) = 0 ((121 + 11c) + c(11 + c)) = 0 (121 + 11c + (11 * c + c * c)) = 0 (121 + 11c + (11c + c2)) = 0 Combine like terms: 11c + 11c = 22c (121 + 22c + c2) = 0 Solving 121 + 22c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (11 + c)(11 + c) = 0Subproblem 1
Set the factor '(11 + c)' equal to zero and attempt to solve: Simplifying 11 + c = 0 Solving 11 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + c = 0 + -11 Combine like terms: 11 + -11 = 0 0 + c = 0 + -11 c = 0 + -11 Combine like terms: 0 + -11 = -11 c = -11 Simplifying c = -11Subproblem 2
Set the factor '(11 + c)' equal to zero and attempt to solve: Simplifying 11 + c = 0 Solving 11 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + c = 0 + -11 Combine like terms: 11 + -11 = 0 0 + c = 0 + -11 c = 0 + -11 Combine like terms: 0 + -11 = -11 c = -11 Simplifying c = -11Solution
c = {-11, -11}
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