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Simplifying 40 = t(t + -3) Reorder the terms: 40 = t(-3 + t) 40 = (-3 * t + t * t) 40 = (-3t + t2) Solving 40 = -3t + t2 Solving for variable 't'. Reorder the terms: 40 + 3t + -1t2 = -3t + 3t + t2 + -1t2 Combine like terms: -3t + 3t = 0 40 + 3t + -1t2 = 0 + t2 + -1t2 40 + 3t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 40 + 3t + -1t2 = 0 Factor a trinomial. (8 + -1t)(5 + t) = 0Subproblem 1
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 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 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Subproblem 2
Set the factor '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5Solution
t = {8, -5}
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