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Simplifying (t + 2)(t + 2) = 0 Reorder the terms: (2 + t)(t + 2) = 0 Reorder the terms: (2 + t)(2 + t) = 0 Multiply (2 + t) * (2 + t) (2(2 + t) + t(2 + t)) = 0 ((2 * 2 + t * 2) + t(2 + t)) = 0 ((4 + 2t) + t(2 + t)) = 0 (4 + 2t + (2 * t + t * t)) = 0 (4 + 2t + (2t + t2)) = 0 Combine like terms: 2t + 2t = 4t (4 + 4t + t2) = 0 Solving 4 + 4t + t2 = 0 Solving for variable 't'. Factor a trinomial. (2 + t)(2 + t) = 0Subproblem 1
Set the factor '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2Solution
t = {-2, -2}
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