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Simplifying t2 = 10t + -25 Reorder the terms: t2 = -25 + 10t Solving t2 = -25 + 10t Solving for variable 't'. Reorder the terms: 25 + -10t + t2 = -25 + 10t + 25 + -10t Reorder the terms: 25 + -10t + t2 = -25 + 25 + 10t + -10t Combine like terms: -25 + 25 = 0 25 + -10t + t2 = 0 + 10t + -10t 25 + -10t + t2 = 10t + -10t Combine like terms: 10t + -10t = 0 25 + -10t + t2 = 0 Factor a trinomial. (5 + -1t)(5 + -1t) = 0Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {5, 5}
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