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Simplifying 74 = 5t + 16t2 Solving 74 = 5t + 16t2 Solving for variable 't'. Reorder the terms: 74 + -5t + -16t2 = 5t + -5t + 16t2 + -16t2 Combine like terms: 5t + -5t = 0 74 + -5t + -16t2 = 0 + 16t2 + -16t2 74 + -5t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 74 + -5t + -16t2 = 0 Factor a trinomial. (2 + -1t)(37 + 16t) = 0Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 2
Set the factor '(37 + 16t)' equal to zero and attempt to solve: Simplifying 37 + 16t = 0 Solving 37 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 16t = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 16t = 0 + -37 16t = 0 + -37 Combine like terms: 0 + -37 = -37 16t = -37 Divide each side by '16'. t = -2.3125 Simplifying t = -2.3125Solution
t = {2, -2.3125}
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