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Simplifying t2 + 22t + 121 = 0 Reorder the terms: 121 + 22t + t2 = 0 Solving 121 + 22t + t2 = 0 Solving for variable 't'. Factor a trinomial. (11 + t)(11 + t) = 0Subproblem 1
Set the factor '(11 + t)' equal to zero and attempt to solve: Simplifying 11 + t = 0 Solving 11 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + t = 0 + -11 t = 0 + -11 Combine like terms: 0 + -11 = -11 t = -11 Simplifying t = -11Subproblem 2
Set the factor '(11 + t)' equal to zero and attempt to solve: Simplifying 11 + t = 0 Solving 11 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + t = 0 + -11 t = 0 + -11 Combine like terms: 0 + -11 = -11 t = -11 Simplifying t = -11Solution
t = {-11, -11}
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