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Simplifying t2 + -14t + -2552 = 0 Reorder the terms: -2552 + -14t + t2 = 0 Solving -2552 + -14t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-44 + -1t)(58 + -1t) = 0Subproblem 1
Set the factor '(-44 + -1t)' equal to zero and attempt to solve: Simplifying -44 + -1t = 0 Solving -44 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -1t = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -1t = 0 + 44 -1t = 0 + 44 Combine like terms: 0 + 44 = 44 -1t = 44 Divide each side by '-1'. t = -44 Simplifying t = -44Subproblem 2
Set the factor '(58 + -1t)' equal to zero and attempt to solve: Simplifying 58 + -1t = 0 Solving 58 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -1t = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -1t = 0 + -58 -1t = 0 + -58 Combine like terms: 0 + -58 = -58 -1t = -58 Divide each side by '-1'. t = 58 Simplifying t = 58Solution
t = {-44, 58}
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