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Simplifying 40t + -1t * t = 400 Multiply t * t 40t + -1t2 = 400 Solving 40t + -1t2 = 400 Solving for variable 't'. Reorder the terms: -400 + 40t + -1t2 = 400 + -400 Combine like terms: 400 + -400 = 0 -400 + 40t + -1t2 = 0 Factor a trinomial. (-20 + t)(20 + -1t) = 0Subproblem 1
Set the factor '(-20 + t)' equal to zero and attempt to solve: Simplifying -20 + t = 0 Solving -20 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + t = 0 + 20 Combine like terms: -20 + 20 = 0 0 + t = 0 + 20 t = 0 + 20 Combine like terms: 0 + 20 = 20 t = 20 Simplifying t = 20Subproblem 2
Set the factor '(20 + -1t)' equal to zero and attempt to solve: Simplifying 20 + -1t = 0 Solving 20 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = 0 + -20 -1t = 0 + -20 Combine like terms: 0 + -20 = -20 -1t = -20 Divide each side by '-1'. t = 20 Simplifying t = 20Solution
t = {20, 20}
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