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Simplifying 96t + -16t2 + 25 = 0 Reorder the terms: 25 + 96t + -16t2 = 0 Solving 25 + 96t + -16t2 = 0 Solving for variable 't'. Factor a trinomial. (25 + -4t)(1 + 4t) = 0Subproblem 1
Set the factor '(25 + -4t)' equal to zero and attempt to solve: Simplifying 25 + -4t = 0 Solving 25 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4t = 0 + -25 -4t = 0 + -25 Combine like terms: 0 + -25 = -25 -4t = -25 Divide each side by '-4'. t = 6.25 Simplifying t = 6.25Subproblem 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 = {6.25, -0.25}
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