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Simplifying t2 + 19t = -90 Reorder the terms: 19t + t2 = -90 Solving 19t + t2 = -90 Solving for variable 't'. Reorder the terms: 90 + 19t + t2 = -90 + 90 Combine like terms: -90 + 90 = 0 90 + 19t + t2 = 0 Factor a trinomial. (10 + t)(9 + t) = 0Subproblem 1
Set the factor '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10Subproblem 2
Set the factor '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9Solution
t = {-10, -9}
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