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Simplifying -50 = -1t2 + -5t Reorder the terms: -50 = -5t + -1t2 Solving -50 = -5t + -1t2 Solving for variable 't'. Reorder the terms: -50 + 5t + t2 = -5t + 5t + -1t2 + t2 Combine like terms: -5t + 5t = 0 -50 + 5t + t2 = 0 + -1t2 + t2 -50 + 5t + t2 = -1t2 + t2 Combine like terms: -1t2 + t2 = 0 -50 + 5t + t2 = 0 Factor a trinomial. (-10 + -1t)(5 + -1t) = 0Subproblem 1
Set the factor '(-10 + -1t)' equal to zero and attempt to solve: Simplifying -10 + -1t = 0 Solving -10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1t = 0 + 10 -1t = 0 + 10 Combine like terms: 0 + 10 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10Subproblem 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 = {-10, 5}
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