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Simplifying 529 = -16t2 + 184t Reorder the terms: 529 = 184t + -16t2 Solving 529 = 184t + -16t2 Solving for variable 't'. Reorder the terms: 529 + -184t + 16t2 = 184t + -184t + -16t2 + 16t2 Combine like terms: 184t + -184t = 0 529 + -184t + 16t2 = 0 + -16t2 + 16t2 529 + -184t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 529 + -184t + 16t2 = 0 Factor a trinomial. (23 + -4t)(23 + -4t) = 0Subproblem 1
Set the factor '(23 + -4t)' equal to zero and attempt to solve: Simplifying 23 + -4t = 0 Solving 23 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4t = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4t = 0 + -23 -4t = 0 + -23 Combine like terms: 0 + -23 = -23 -4t = -23 Divide each side by '-4'. t = 5.75 Simplifying t = 5.75Subproblem 2
Set the factor '(23 + -4t)' equal to zero and attempt to solve: Simplifying 23 + -4t = 0 Solving 23 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4t = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4t = 0 + -23 -4t = 0 + -23 Combine like terms: 0 + -23 = -23 -4t = -23 Divide each side by '-4'. t = 5.75 Simplifying t = 5.75Solution
t = {5.75, 5.75}
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