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Simplifying 5t2 + -16t + -45 = 0 Reorder the terms: -45 + -16t + 5t2 = 0 Solving -45 + -16t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (-9 + -5t)(5 + -1t) = 0Subproblem 1
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 = -1.8Subproblem 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 = {-1.8, 5}
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