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Simplifying 25t2 + -110t + 121 = 0 Reorder the terms: 121 + -110t + 25t2 = 0 Solving 121 + -110t + 25t2 = 0 Solving for variable 't'. Factor a trinomial. (11 + -5t)(11 + -5t) = 0Subproblem 1
Set the factor '(11 + -5t)' equal to zero and attempt to solve: Simplifying 11 + -5t = 0 Solving 11 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5t = 0 + -11 -5t = 0 + -11 Combine like terms: 0 + -11 = -11 -5t = -11 Divide each side by '-5'. t = 2.2 Simplifying t = 2.2Subproblem 2
Set the factor '(11 + -5t)' equal to zero and attempt to solve: Simplifying 11 + -5t = 0 Solving 11 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5t = 0 + -11 -5t = 0 + -11 Combine like terms: 0 + -11 = -11 -5t = -11 Divide each side by '-5'. t = 2.2 Simplifying t = 2.2Solution
t = {2.2, 2.2}
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