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Simplifying t2 + -1t + -462 = 0 Reorder the terms: -462 + -1t + t2 = 0 Solving -462 + -1t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-21 + -1t)(22 + -1t) = 0Subproblem 1
Set the factor '(-21 + -1t)' equal to zero and attempt to solve: Simplifying -21 + -1t = 0 Solving -21 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1t = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1t = 0 + 21 -1t = 0 + 21 Combine like terms: 0 + 21 = 21 -1t = 21 Divide each side by '-1'. t = -21 Simplifying t = -21Subproblem 2
Set the factor '(22 + -1t)' equal to zero and attempt to solve: Simplifying 22 + -1t = 0 Solving 22 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1t = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1t = 0 + -22 -1t = 0 + -22 Combine like terms: 0 + -22 = -22 -1t = -22 Divide each side by '-1'. t = 22 Simplifying t = 22Solution
t = {-21, 22}
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