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Simplifying 72t2 + -55t + -7 = 0 Reorder the terms: -7 + -55t + 72t2 = 0 Solving -7 + -55t + 72t2 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -9t)(7 + -8t) = 0Subproblem 1
Set the factor '(-1 + -9t)' equal to zero and attempt to solve: Simplifying -1 + -9t = 0 Solving -1 + -9t = 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 + -9t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9t = 0 + 1 -9t = 0 + 1 Combine like terms: 0 + 1 = 1 -9t = 1 Divide each side by '-9'. t = -0.1111111111 Simplifying t = -0.1111111111Subproblem 2
Set the factor '(7 + -8t)' equal to zero and attempt to solve: Simplifying 7 + -8t = 0 Solving 7 + -8t = 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 + -8t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8t = 0 + -7 -8t = 0 + -7 Combine like terms: 0 + -7 = -7 -8t = -7 Divide each side by '-8'. t = 0.875 Simplifying t = 0.875Solution
t = {-0.1111111111, 0.875}
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