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Simplifying 5t2 + -27t + 34 = 0 Reorder the terms: 34 + -27t + 5t2 = 0 Solving 34 + -27t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (2 + -1t)(17 + -5t) = 0Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 2
Set the factor '(17 + -5t)' equal to zero and attempt to solve: Simplifying 17 + -5t = 0 Solving 17 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5t = 0 + -17 -5t = 0 + -17 Combine like terms: 0 + -17 = -17 -5t = -17 Divide each side by '-5'. t = 3.4 Simplifying t = 3.4Solution
t = {2, 3.4}
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