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Simplifying t2 + 20t + -44 = 0 Reorder the terms: -44 + 20t + t2 = 0 Solving -44 + 20t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-22 + -1t)(2 + -1t) = 0Subproblem 1
Set the factor '(-22 + -1t)' equal to zero and attempt to solve: Simplifying -22 + -1t = 0 Solving -22 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1t = 0 + 22 -1t = 0 + 22 Combine like terms: 0 + 22 = 22 -1t = 22 Divide each side by '-1'. t = -22 Simplifying t = -22Subproblem 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 = {-22, 2}
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