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Simplifying t(t + -96) = -1980 Reorder the terms: t(-96 + t) = -1980 (-96 * t + t * t) = -1980 (-96t + t2) = -1980 Solving -96t + t2 = -1980 Solving for variable 't'. Reorder the terms: 1980 + -96t + t2 = -1980 + 1980 Combine like terms: -1980 + 1980 = 0 1980 + -96t + t2 = 0 Factor a trinomial. (30 + -1t)(66 + -1t) = 0Subproblem 1
Set the factor '(30 + -1t)' equal to zero and attempt to solve: Simplifying 30 + -1t = 0 Solving 30 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1t = 0 + -30 -1t = 0 + -30 Combine like terms: 0 + -30 = -30 -1t = -30 Divide each side by '-1'. t = 30 Simplifying t = 30Subproblem 2
Set the factor '(66 + -1t)' equal to zero and attempt to solve: Simplifying 66 + -1t = 0 Solving 66 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -1t = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -1t = 0 + -66 -1t = 0 + -66 Combine like terms: 0 + -66 = -66 -1t = -66 Divide each side by '-1'. t = 66 Simplifying t = 66Solution
t = {30, 66}
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