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Simplifying 7744 = -16t2 + 704t Reorder the terms: 7744 = 704t + -16t2 Solving 7744 = 704t + -16t2 Solving for variable 't'. Reorder the terms: 7744 + -704t + 16t2 = 704t + -704t + -16t2 + 16t2 Combine like terms: 704t + -704t = 0 7744 + -704t + 16t2 = 0 + -16t2 + 16t2 7744 + -704t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 7744 + -704t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(484 + -44t + t2) = 0 Factor a trinomial. 16((22 + -1t)(22 + -1t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(22 + -1t)' equal to zero and attempt to solve: Simplifying 22 + -1t = 0 Solving 22 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1t = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1t = 0 + -22 -1t = 0 + -22 Combine like terms: 0 + -22 = -22 -1t = -22 Divide each side by '-1'. t = 22 Simplifying t = 22Subproblem 2
Set the factor '(22 + -1t)' equal to zero and attempt to solve: Simplifying 22 + -1t = 0 Solving 22 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1t = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1t = 0 + -22 -1t = 0 + -22 Combine like terms: 0 + -22 = -22 -1t = -22 Divide each side by '-1'. t = 22 Simplifying t = 22Solution
t = {22, 22}
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