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Simplifying t2 + -14t + -240 = 0 Reorder the terms: -240 + -14t + t2 = 0 Solving -240 + -14t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-10 + -1t)(24 + -1t) = 0Subproblem 1
Set the factor '(-10 + -1t)' equal to zero and attempt to solve: Simplifying -10 + -1t = 0 Solving -10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1t = 0 + 10 -1t = 0 + 10 Combine like terms: 0 + 10 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10Subproblem 2
Set the factor '(24 + -1t)' equal to zero and attempt to solve: Simplifying 24 + -1t = 0 Solving 24 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1t = 0 + -24 -1t = 0 + -24 Combine like terms: 0 + -24 = -24 -1t = -24 Divide each side by '-1'. t = 24 Simplifying t = 24Solution
t = {-10, 24}
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