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Simplifying t2 + 55t + -434 = 0 Reorder the terms: -434 + 55t + t2 = 0 Solving -434 + 55t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-62 + -1t)(7 + -1t) = 0Subproblem 1
Set the factor '(-62 + -1t)' equal to zero and attempt to solve: Simplifying -62 + -1t = 0 Solving -62 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -1t = 0 + 62 Combine like terms: -62 + 62 = 0 0 + -1t = 0 + 62 -1t = 0 + 62 Combine like terms: 0 + 62 = 62 -1t = 62 Divide each side by '-1'. t = -62 Simplifying t = -62Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {-62, 7}
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