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Simplifying 0 = -16t2 + 40t + -25 Reorder the terms: 0 = -25 + 40t + -16t2 Solving 0 = -25 + 40t + -16t2 Solving for variable 't'. Combine like terms: 0 + 25 = 25 25 + -40t + 16t2 = -25 + 40t + -16t2 + 25 + -40t + 16t2 Reorder the terms: 25 + -40t + 16t2 = -25 + 25 + 40t + -40t + -16t2 + 16t2 Combine like terms: -25 + 25 = 0 25 + -40t + 16t2 = 0 + 40t + -40t + -16t2 + 16t2 25 + -40t + 16t2 = 40t + -40t + -16t2 + 16t2 Combine like terms: 40t + -40t = 0 25 + -40t + 16t2 = 0 + -16t2 + 16t2 25 + -40t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 25 + -40t + 16t2 = 0 Factor a trinomial. (5 + -4t)(5 + -4t) = 0Subproblem 1
Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 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 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25Subproblem 2
Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 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 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25Solution
t = {1.25, 1.25}
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