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Simplifying -16t2 + 75t + 25 = 0 Reorder the terms: 25 + 75t + -16t2 = 0 Solving 25 + 75t + -16t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + -1t)(5 + 16t) = 0Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Subproblem 2
Set the factor '(5 + 16t)' equal to zero and attempt to solve: Simplifying 5 + 16t = 0 Solving 5 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 16t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 16t = 0 + -5 16t = 0 + -5 Combine like terms: 0 + -5 = -5 16t = -5 Divide each side by '16'. t = -0.3125 Simplifying t = -0.3125Solution
t = {5, -0.3125}
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