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Simplifying (2 + -1t)(2 + -1t) = 0 Multiply (2 + -1t) * (2 + -1t) (2(2 + -1t) + -1t * (2 + -1t)) = 0 ((2 * 2 + -1t * 2) + -1t * (2 + -1t)) = 0 ((4 + -2t) + -1t * (2 + -1t)) = 0 (4 + -2t + (2 * -1t + -1t * -1t)) = 0 (4 + -2t + (-2t + 1t2)) = 0 Combine like terms: -2t + -2t = -4t (4 + -4t + 1t2) = 0 Solving 4 + -4t + 1t2 = 0 Solving for variable 't'. Factor a trinomial. (2 + -1t)(2 + -1t) = 0Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 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 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 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 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {2, 2}
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