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Simplifying 16t2 + -14t + 3 = 0 Reorder the terms: 3 + -14t + 16t2 = 0 Solving 3 + -14t + 16t2 = 0 Solving for variable 't'. Factor a trinomial. (3 + -8t)(1 + -2t) = 0Subproblem 1
Set the factor '(3 + -8t)' equal to zero and attempt to solve: Simplifying 3 + -8t = 0 Solving 3 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8t = 0 + -3 -8t = 0 + -3 Combine like terms: 0 + -3 = -3 -8t = -3 Divide each side by '-8'. t = 0.375 Simplifying t = 0.375Subproblem 2
Set the factor '(1 + -2t)' equal to zero and attempt to solve: Simplifying 1 + -2t = 0 Solving 1 + -2t = 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 + -2t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = 0 + -1 -2t = 0 + -1 Combine like terms: 0 + -1 = -1 -2t = -1 Divide each side by '-2'. t = 0.5 Simplifying t = 0.5Solution
t = {0.375, 0.5}
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