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Simplifying 7t2 + -13t + -24 = 0 Reorder the terms: -24 + -13t + 7t2 = 0 Solving -24 + -13t + 7t2 = 0 Solving for variable 't'. Factor a trinomial. (-8 + -7t)(3 + -1t) = 0Subproblem 1
Set the factor '(-8 + -7t)' equal to zero and attempt to solve: Simplifying -8 + -7t = 0 Solving -8 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7t = 0 + 8 -7t = 0 + 8 Combine like terms: 0 + 8 = 8 -7t = 8 Divide each side by '-7'. t = -1.142857143 Simplifying t = -1.142857143Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {-1.142857143, 3}
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