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Simplifying (t + 4)(t + -8) = 0 Reorder the terms: (4 + t)(t + -8) = 0 Reorder the terms: (4 + t)(-8 + t) = 0 Multiply (4 + t) * (-8 + t) (4(-8 + t) + t(-8 + t)) = 0 ((-8 * 4 + t * 4) + t(-8 + t)) = 0 ((-32 + 4t) + t(-8 + t)) = 0 (-32 + 4t + (-8 * t + t * t)) = 0 (-32 + 4t + (-8t + t2)) = 0 Combine like terms: 4t + -8t = -4t (-32 + -4t + t2) = 0 Solving -32 + -4t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-4 + -1t)(8 + -1t) = 0Subproblem 1
Set the factor '(-4 + -1t)' equal to zero and attempt to solve: Simplifying -4 + -1t = 0 Solving -4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = 0 + 4 -1t = 0 + 4 Combine like terms: 0 + 4 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4Subproblem 2
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 = 8Solution
t = {-4, 8}
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