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Simplifying (t + 2)(t + -7) = 0 Reorder the terms: (2 + t)(t + -7) = 0 Reorder the terms: (2 + t)(-7 + t) = 0 Multiply (2 + t) * (-7 + t) (2(-7 + t) + t(-7 + t)) = 0 ((-7 * 2 + t * 2) + t(-7 + t)) = 0 ((-14 + 2t) + t(-7 + t)) = 0 (-14 + 2t + (-7 * t + t * t)) = 0 (-14 + 2t + (-7t + t2)) = 0 Combine like terms: 2t + -7t = -5t (-14 + -5t + t2) = 0 Solving -14 + -5t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-2 + -1t)(7 + -1t) = 0Subproblem 1
Set the factor '(-2 + -1t)' equal to zero and attempt to solve: Simplifying -2 + -1t = 0 Solving -2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 0 + 2 -1t = 0 + 2 Combine like terms: 0 + 2 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2Subproblem 2
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 = 7Solution
t = {-2, 7}
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