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Simplifying t2 + 3t + -154 = 0 Reorder the terms: -154 + 3t + t2 = 0 Solving -154 + 3t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-14 + -1t)(11 + -1t) = 0Subproblem 1
Set the factor '(-14 + -1t)' equal to zero and attempt to solve: Simplifying -14 + -1t = 0 Solving -14 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1t = 0 + 14 -1t = 0 + 14 Combine like terms: 0 + 14 = 14 -1t = 14 Divide each side by '-1'. t = -14 Simplifying t = -14Subproblem 2
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 = 11Solution
t = {-14, 11}
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