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Simplifying t2 + -145t + 2500 = 0 Reorder the terms: 2500 + -145t + t2 = 0 Solving 2500 + -145t + t2 = 0 Solving for variable 't'. Factor a trinomial. (20 + -1t)(125 + -1t) = 0Subproblem 1
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 = 20Subproblem 2
Set the factor '(125 + -1t)' equal to zero and attempt to solve: Simplifying 125 + -1t = 0 Solving 125 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -1t = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -1t = 0 + -125 -1t = 0 + -125 Combine like terms: 0 + -125 = -125 -1t = -125 Divide each side by '-1'. t = 125 Simplifying t = 125Solution
t = {20, 125}
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