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Simplifying -1t2 + 7t = -44 Reorder the terms: 7t + -1t2 = -44 Solving 7t + -1t2 = -44 Solving for variable 't'. Reorder the terms: 44 + 7t + -1t2 = -44 + 44 Combine like terms: -44 + 44 = 0 44 + 7t + -1t2 = 0 Factor a trinomial. (11 + -1t)(4 + t) = 0Subproblem 1
Set the factor '(11 + -1t)' equal to zero and attempt to solve: Simplifying 11 + -1t = 0 Solving 11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1t = 0 + -11 -1t = 0 + -11 Combine like terms: 0 + -11 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11Subproblem 2
Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Solution
t = {11, -4}
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