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Simplifying t2 = 20t + -100 Reorder the terms: t2 = -100 + 20t Solving t2 = -100 + 20t Solving for variable 't'. Reorder the terms: 100 + -20t + t2 = -100 + 20t + 100 + -20t Reorder the terms: 100 + -20t + t2 = -100 + 100 + 20t + -20t Combine like terms: -100 + 100 = 0 100 + -20t + t2 = 0 + 20t + -20t 100 + -20t + t2 = 20t + -20t Combine like terms: 20t + -20t = 0 100 + -20t + t2 = 0 Factor a trinomial. (10 + -1t)(10 + -1t) = 0Subproblem 1
Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10Solution
t = {10, 10}
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