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