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Simplifying -16t2 + 40t + 11 = 0 Reorder the terms: 11 + 40t + -16t2 = 0 Solving 11 + 40t + -16t2 = 0 Solving for variable 't'. Factor a trinomial. (11 + -4t)(1 + 4t) = 0Subproblem 1
Set the factor '(11 + -4t)' equal to zero and attempt to solve: Simplifying 11 + -4t = 0 Solving 11 + -4t = 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 + -4t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4t = 0 + -11 -4t = 0 + -11 Combine like terms: 0 + -11 = -11 -4t = -11 Divide each side by '-4'. t = 2.75 Simplifying t = 2.75Subproblem 2
Set the factor '(1 + 4t)' equal to zero and attempt to solve: Simplifying 1 + 4t = 0 Solving 1 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 0 + -1 4t = 0 + -1 Combine like terms: 0 + -1 = -1 4t = -1 Divide each side by '4'. t = -0.25 Simplifying t = -0.25Solution
t = {2.75, -0.25}
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