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Simplifying (8 + t)(11 + t) = 0 Multiply (8 + t) * (11 + t) (8(11 + t) + t(11 + t)) = 0 ((11 * 8 + t * 8) + t(11 + t)) = 0 ((88 + 8t) + t(11 + t)) = 0 (88 + 8t + (11 * t + t * t)) = 0 (88 + 8t + (11t + t2)) = 0 Combine like terms: 8t + 11t = 19t (88 + 19t + t2) = 0 Solving 88 + 19t + t2 = 0 Solving for variable 't'. Factor a trinomial. (11 + t)(8 + t) = 0Subproblem 1
Set the factor '(11 + t)' equal to zero and attempt to solve: Simplifying 11 + t = 0 Solving 11 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + t = 0 + -11 t = 0 + -11 Combine like terms: 0 + -11 = -11 t = -11 Simplifying t = -11Subproblem 2
Set the factor '(8 + t)' equal to zero and attempt to solve: Simplifying 8 + t = 0 Solving 8 + t = 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 + t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + t = 0 + -8 t = 0 + -8 Combine like terms: 0 + -8 = -8 t = -8 Simplifying t = -8Solution
t = {-11, -8}
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