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Simplifying -1t2 + 44t + 45 = 0 Reorder the terms: 45 + 44t + -1t2 = 0 Solving 45 + 44t + -1t2 = 0 Solving for variable 't'. Factor a trinomial. (45 + -1t)(1 + t) = 0Subproblem 1
Set the factor '(45 + -1t)' equal to zero and attempt to solve: Simplifying 45 + -1t = 0 Solving 45 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1t = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1t = 0 + -45 -1t = 0 + -45 Combine like terms: 0 + -45 = -45 -1t = -45 Divide each side by '-1'. t = 45 Simplifying t = 45Subproblem 2
Set the factor '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 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 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1Solution
t = {45, -1}
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