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Simplifying -2t2 + 9t + -7 = 0 Reorder the terms: -7 + 9t + -2t2 = 0 Solving -7 + 9t + -2t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + 2t)(1 + -1t) = 0Subproblem 1
Set the factor '(-7 + 2t)' equal to zero and attempt to solve: Simplifying -7 + 2t = 0 Solving -7 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2t = 0 + 7 2t = 0 + 7 Combine like terms: 0 + 7 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5Subproblem 2
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 = 1Solution
t = {3.5, 1}
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