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Simplifying -38t + 11t2 + -24 = 0 Reorder the terms: -24 + -38t + 11t2 = 0 Solving -24 + -38t + 11t2 = 0 Solving for variable 't'. Factor a trinomial. (-6 + -11t)(4 + -1t) = 0Subproblem 1
Set the factor '(-6 + -11t)' equal to zero and attempt to solve: Simplifying -6 + -11t = 0 Solving -6 + -11t = 0 Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11t = 0 + 6 -11t = 0 + 6 Combine like terms: 0 + 6 = 6 -11t = 6 Divide each side by '-11'. t = -0.5454545455 Simplifying t = -0.5454545455Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {-0.5454545455, 4}
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