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Simplifying 169 = -16(t)(t) + 104t Multiply t * t 169 = -16t2 + 104t Reorder the terms: 169 = 104t + -16t2 Solving 169 = 104t + -16t2 Solving for variable 't'. Reorder the terms: 169 + -104t + 16t2 = 104t + -104t + -16t2 + 16t2 Combine like terms: 104t + -104t = 0 169 + -104t + 16t2 = 0 + -16t2 + 16t2 169 + -104t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 169 + -104t + 16t2 = 0 Factor a trinomial. (13 + -4t)(13 + -4t) = 0Subproblem 1
Set the factor '(13 + -4t)' equal to zero and attempt to solve: Simplifying 13 + -4t = 0 Solving 13 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = 0 + -13 -4t = 0 + -13 Combine like terms: 0 + -13 = -13 -4t = -13 Divide each side by '-4'. t = 3.25 Simplifying t = 3.25Subproblem 2
Set the factor '(13 + -4t)' equal to zero and attempt to solve: Simplifying 13 + -4t = 0 Solving 13 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = 0 + -13 -4t = 0 + -13 Combine like terms: 0 + -13 = -13 -4t = -13 Divide each side by '-4'. t = 3.25 Simplifying t = 3.25Solution
t = {3.25, 3.25}
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