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Simplifying t2 = 16 + -6t Solving t2 = 16 + -6t Solving for variable 't'. Reorder the terms: -16 + 6t + t2 = 16 + -6t + -16 + 6t Reorder the terms: -16 + 6t + t2 = 16 + -16 + -6t + 6t Combine like terms: 16 + -16 = 0 -16 + 6t + t2 = 0 + -6t + 6t -16 + 6t + t2 = -6t + 6t Combine like terms: -6t + 6t = 0 -16 + 6t + t2 = 0 Factor a trinomial. (-8 + -1t)(2 + -1t) = 0Subproblem 1
Set the factor '(-8 + -1t)' equal to zero and attempt to solve: Simplifying -8 + -1t = 0 Solving -8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = 0 + 8 -1t = 0 + 8 Combine like terms: 0 + 8 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8Subproblem 2
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 = 2Solution
t = {-8, 2}
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