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Simplifying (t + 12)(t + 8) = 0 Reorder the terms: (12 + t)(t + 8) = 0 Reorder the terms: (12 + t)(8 + t) = 0 Multiply (12 + t) * (8 + t) (12(8 + t) + t(8 + t)) = 0 ((8 * 12 + t * 12) + t(8 + t)) = 0 ((96 + 12t) + t(8 + t)) = 0 (96 + 12t + (8 * t + t * t)) = 0 (96 + 12t + (8t + t2)) = 0 Combine like terms: 12t + 8t = 20t (96 + 20t + t2) = 0 Solving 96 + 20t + t2 = 0 Solving for variable 't'. Factor a trinomial. (12 + t)(8 + t) = 0Subproblem 1
Set the factor '(12 + t)' equal to zero and attempt to solve: Simplifying 12 + t = 0 Solving 12 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + t = 0 + -12 t = 0 + -12 Combine like terms: 0 + -12 = -12 t = -12 Simplifying t = -12Subproblem 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 = {-12, -8}
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