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Simplifying 5t2 + -14t + 9 = 0 Reorder the terms: 9 + -14t + 5t2 = 0 Solving 9 + -14t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (1 + -1t)(9 + -5t) = 0Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 2
Set the factor '(9 + -5t)' equal to zero and attempt to solve: Simplifying 9 + -5t = 0 Solving 9 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5t = 0 + -9 -5t = 0 + -9 Combine like terms: 0 + -9 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8Solution
t = {1, 1.8}
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