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Simplifying -16t2 + 70t + 4 = -5 Reorder the terms: 4 + 70t + -16t2 = -5 Solving 4 + 70t + -16t2 = -5 Solving for variable 't'. Reorder the terms: 4 + 5 + 70t + -16t2 = -5 + 5 Combine like terms: 4 + 5 = 9 9 + 70t + -16t2 = -5 + 5 Combine like terms: -5 + 5 = 0 9 + 70t + -16t2 = 0 Factor a trinomial. (9 + -2t)(1 + 8t) = 0Subproblem 1
Set the factor '(9 + -2t)' equal to zero and attempt to solve: Simplifying 9 + -2t = 0 Solving 9 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = 0 + -9 -2t = 0 + -9 Combine like terms: 0 + -9 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5Subproblem 2
Set the factor '(1 + 8t)' equal to zero and attempt to solve: Simplifying 1 + 8t = 0 Solving 1 + 8t = 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 + 8t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8t = 0 + -1 8t = 0 + -1 Combine like terms: 0 + -1 = -1 8t = -1 Divide each side by '8'. t = -0.125 Simplifying t = -0.125Solution
t = {4.5, -0.125}
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