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Simplifying (t + 5)(t + -18) = 0 Reorder the terms: (5 + t)(t + -18) = 0 Reorder the terms: (5 + t)(-18 + t) = 0 Multiply (5 + t) * (-18 + t) (5(-18 + t) + t(-18 + t)) = 0 ((-18 * 5 + t * 5) + t(-18 + t)) = 0 ((-90 + 5t) + t(-18 + t)) = 0 (-90 + 5t + (-18 * t + t * t)) = 0 (-90 + 5t + (-18t + t2)) = 0 Combine like terms: 5t + -18t = -13t (-90 + -13t + t2) = 0 Solving -90 + -13t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -1t)(18 + -1t) = 0Subproblem 1
Set the factor '(-5 + -1t)' equal to zero and attempt to solve: Simplifying -5 + -1t = 0 Solving -5 + -1t = 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 + -1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 0 + 5 -1t = 0 + 5 Combine like terms: 0 + 5 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5Subproblem 2
Set the factor '(18 + -1t)' equal to zero and attempt to solve: Simplifying 18 + -1t = 0 Solving 18 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1t = 0 + -18 -1t = 0 + -18 Combine like terms: 0 + -18 = -18 -1t = -18 Divide each side by '-1'. t = 18 Simplifying t = 18Solution
t = {-5, 18}
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