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Simplifying -16t2 + 63t + 4 = 0 Reorder the terms: 4 + 63t + -16t2 = 0 Solving 4 + 63t + -16t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + -1t)(1 + 16t) = 0Subproblem 1
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 = 4Subproblem 2
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 = -0.0625Solution
t = {4, -0.0625}
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