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Simplifying 361 = -16t2 + 152t Reorder the terms: 361 = 152t + -16t2 Solving 361 = 152t + -16t2 Solving for variable 't'. Reorder the terms: 361 + -152t + 16t2 = 152t + -152t + -16t2 + 16t2 Combine like terms: 152t + -152t = 0 361 + -152t + 16t2 = 0 + -16t2 + 16t2 361 + -152t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 361 + -152t + 16t2 = 0 Factor a trinomial. (19 + -4t)(19 + -4t) = 0Subproblem 1
Set the factor '(19 + -4t)' equal to zero and attempt to solve: Simplifying 19 + -4t = 0 Solving 19 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4t = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4t = 0 + -19 -4t = 0 + -19 Combine like terms: 0 + -19 = -19 -4t = -19 Divide each side by '-4'. t = 4.75 Simplifying t = 4.75Subproblem 2
Set the factor '(19 + -4t)' equal to zero and attempt to solve: Simplifying 19 + -4t = 0 Solving 19 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4t = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4t = 0 + -19 -4t = 0 + -19 Combine like terms: 0 + -19 = -19 -4t = -19 Divide each side by '-4'. t = 4.75 Simplifying t = 4.75Solution
t = {4.75, 4.75}
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