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Simplifying -16t2 + 3t + 13 = 0 Reorder the terms: 13 + 3t + -16t2 = 0 Solving 13 + 3t + -16t2 = 0 Solving for variable 't'. Factor a trinomial. (1 + -1t)(13 + 16t) = 0Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 2
Set the factor '(13 + 16t)' equal to zero and attempt to solve: Simplifying 13 + 16t = 0 Solving 13 + 16t = 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 + 16t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 16t = 0 + -13 16t = 0 + -13 Combine like terms: 0 + -13 = -13 16t = -13 Divide each side by '16'. t = -0.8125 Simplifying t = -0.8125Solution
t = {1, -0.8125}
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