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Simplifying 8t2 + 7t + -1 = 0 Reorder the terms: -1 + 7t + 8t2 = 0 Solving -1 + 7t + 8t2 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -1t)(1 + -8t) = 0Subproblem 1
Set the factor '(-1 + -1t)' equal to zero and attempt to solve: Simplifying -1 + -1t = 0 Solving -1 + -1t = 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 + -1t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1t = 0 + 1 -1t = 0 + 1 Combine like terms: 0 + 1 = 1 -1t = 1 Divide each side by '-1'. t = -1 Simplifying t = -1Subproblem 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 = {-1, 0.125}
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