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Simplifying 275 = -16t2 + 150t + 0 Reorder the terms: 275 = 0 + 150t + -16t2 Remove the zero: 275 = 150t + -16t2 Solving 275 = 150t + -16t2 Solving for variable 't'. Reorder the terms: 275 + -150t + 16t2 = 150t + -150t + -16t2 + 16t2 Combine like terms: 150t + -150t = 0 275 + -150t + 16t2 = 0 + -16t2 + 16t2 275 + -150t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 275 + -150t + 16t2 = 0 Factor a trinomial. (5 + -2t)(55 + -8t) = 0Subproblem 1
Set the factor '(5 + -2t)' equal to zero and attempt to solve: Simplifying 5 + -2t = 0 Solving 5 + -2t = 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 + -2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 0 + -5 -2t = 0 + -5 Combine like terms: 0 + -5 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5Subproblem 2
Set the factor '(55 + -8t)' equal to zero and attempt to solve: Simplifying 55 + -8t = 0 Solving 55 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -8t = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -8t = 0 + -55 -8t = 0 + -55 Combine like terms: 0 + -55 = -55 -8t = -55 Divide each side by '-8'. t = 6.875 Simplifying t = 6.875Solution
t = {2.5, 6.875}
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