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Simplifying t2 = 36 + -5t Solving t2 = 36 + -5t Solving for variable 't'. Reorder the terms: -36 + 5t + t2 = 36 + -5t + -36 + 5t Reorder the terms: -36 + 5t + t2 = 36 + -36 + -5t + 5t Combine like terms: 36 + -36 = 0 -36 + 5t + t2 = 0 + -5t + 5t -36 + 5t + t2 = -5t + 5t Combine like terms: -5t + 5t = 0 -36 + 5t + t2 = 0 Factor a trinomial. (-9 + -1t)(4 + -1t) = 0Subproblem 1
Set the factor '(-9 + -1t)' equal to zero and attempt to solve: Simplifying -9 + -1t = 0 Solving -9 + -1t = 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 + -1t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1t = 0 + 9 -1t = 0 + 9 Combine like terms: 0 + 9 = 9 -1t = 9 Divide each side by '-1'. t = -9 Simplifying t = -9Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {-9, 4}
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