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Simplifying (t + 7)(t + -15) = 0 Reorder the terms: (7 + t)(t + -15) = 0 Reorder the terms: (7 + t)(-15 + t) = 0 Multiply (7 + t) * (-15 + t) (7(-15 + t) + t(-15 + t)) = 0 ((-15 * 7 + t * 7) + t(-15 + t)) = 0 ((-105 + 7t) + t(-15 + t)) = 0 (-105 + 7t + (-15 * t + t * t)) = 0 (-105 + 7t + (-15t + t2)) = 0 Combine like terms: 7t + -15t = -8t (-105 + -8t + t2) = 0 Solving -105 + -8t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -1t)(15 + -1t) = 0Subproblem 1
Set the factor '(-7 + -1t)' equal to zero and attempt to solve: Simplifying -7 + -1t = 0 Solving -7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 0 + 7 -1t = 0 + 7 Combine like terms: 0 + 7 = 7 -1t = 7 Divide each side by '-1'. t = -7 Simplifying t = -7Subproblem 2
Set the factor '(15 + -1t)' equal to zero and attempt to solve: Simplifying 15 + -1t = 0 Solving 15 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1t = 0 + -15 -1t = 0 + -15 Combine like terms: 0 + -15 = -15 -1t = -15 Divide each side by '-1'. t = 15 Simplifying t = 15Solution
t = {-7, 15}
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