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Simplifying -16t2 + -17t + 98 = 0 Reorder the terms: 98 + -17t + -16t2 = 0 Solving 98 + -17t + -16t2 = 0 Solving for variable 't'. Factor a trinomial. (2 + -1t)(49 + 16t) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(49 + 16t)' equal to zero and attempt to solve: Simplifying 49 + 16t = 0 Solving 49 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 16t = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 16t = 0 + -49 16t = 0 + -49 Combine like terms: 0 + -49 = -49 16t = -49 Divide each side by '16'. t = -3.0625 Simplifying t = -3.0625Solution
t = {2, -3.0625}
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