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Simplifying -91 = -20t + t2 Solving -91 = -20t + t2 Solving for variable 't'. Reorder the terms: -91 + 20t + -1t2 = -20t + 20t + t2 + -1t2 Combine like terms: -20t + 20t = 0 -91 + 20t + -1t2 = 0 + t2 + -1t2 -91 + 20t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -91 + 20t + -1t2 = 0 Factor a trinomial. (-13 + t)(7 + -1t) = 0Subproblem 1
Set the factor '(-13 + t)' equal to zero and attempt to solve: Simplifying -13 + t = 0 Solving -13 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + t = 0 + 13 t = 0 + 13 Combine like terms: 0 + 13 = 13 t = 13 Simplifying t = 13Subproblem 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 = {13, 7}
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