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Simplifying 9t + -22 + t2 = 0 Reorder the terms: -22 + 9t + t2 = 0 Solving -22 + 9t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-11 + -1t)(2 + -1t) = 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 '(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 = {-11, 2}
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