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Simplifying 0 = -16t2 + 63t + 4 Reorder the terms: 0 = 4 + 63t + -16t2 Solving 0 = 4 + 63t + -16t2 Solving for variable 't'. Combine like terms: 0 + -4 = -4 -4 + -63t + 16t2 = 4 + 63t + -16t2 + -4 + -63t + 16t2 Reorder the terms: -4 + -63t + 16t2 = 4 + -4 + 63t + -63t + -16t2 + 16t2 Combine like terms: 4 + -4 = 0 -4 + -63t + 16t2 = 0 + 63t + -63t + -16t2 + 16t2 -4 + -63t + 16t2 = 63t + -63t + -16t2 + 16t2 Combine like terms: 63t + -63t = 0 -4 + -63t + 16t2 = 0 + -16t2 + 16t2 -4 + -63t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -4 + -63t + 16t2 = 0 Factor a trinomial. (-1 + -16t)(4 + -1t) = 0Subproblem 1
Set the factor '(-1 + -16t)' equal to zero and attempt to solve: Simplifying -1 + -16t = 0 Solving -1 + -16t = 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 + -16t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -16t = 0 + 1 -16t = 0 + 1 Combine like terms: 0 + 1 = 1 -16t = 1 Divide each side by '-16'. t = -0.0625 Simplifying t = -0.0625Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {-0.0625, 4}
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