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Simplifying -6 = -16t2 + 29t Reorder the terms: -6 = 29t + -16t2 Solving -6 = 29t + -16t2 Solving for variable 't'. Reorder the terms: -6 + -29t + 16t2 = 29t + -29t + -16t2 + 16t2 Combine like terms: 29t + -29t = 0 -6 + -29t + 16t2 = 0 + -16t2 + 16t2 -6 + -29t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -6 + -29t + 16t2 = 0 Factor a trinomial. (-3 + -16t)(2 + -1t) = 0Subproblem 1
Set the factor '(-3 + -16t)' equal to zero and attempt to solve: Simplifying -3 + -16t = 0 Solving -3 + -16t = 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 + -16t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -16t = 0 + 3 -16t = 0 + 3 Combine like terms: 0 + 3 = 3 -16t = 3 Divide each side by '-16'. t = -0.1875 Simplifying t = -0.1875Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {-0.1875, 2}
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