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