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Simplifying t2 + 11t + 30 = 0 Reorder the terms: 30 + 11t + t2 = 0 Solving 30 + 11t + t2 = 0 Solving for variable 't'. Factor a trinomial. (6 + t)(5 + t) = 0Subproblem 1
Set the factor '(6 + t)' equal to zero and attempt to solve: Simplifying 6 + t = 0 Solving 6 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + t = 0 + -6 t = 0 + -6 Combine like terms: 0 + -6 = -6 t = -6 Simplifying t = -6Subproblem 2
Set the factor '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5Solution
t = {-6, -5}
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