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Simplifying 475 = (-16) * t2 + 175t Reorder the terms: 475 = 175t + -16t2 Solving 475 = 175t + -16t2 Solving for variable 't'. Reorder the terms: 475 + -175t + 16t2 = 175t + -175t + -16t2 + 16t2 Combine like terms: 175t + -175t = 0 475 + -175t + 16t2 = 0 + -16t2 + 16t2 475 + -175t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 475 + -175t + 16t2 = 0 Factor a trinomial. (5 + -1t)(95 + -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 '(95 + -16t)' equal to zero and attempt to solve: Simplifying 95 + -16t = 0 Solving 95 + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -16t = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -16t = 0 + -95 -16t = 0 + -95 Combine like terms: 0 + -95 = -95 -16t = -95 Divide each side by '-16'. t = 5.9375 Simplifying t = 5.9375Solution
t = {5, 5.9375}
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