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Simplifying -1t2 + 16t = 64 Reorder the terms: 16t + -1t2 = 64 Solving 16t + -1t2 = 64 Solving for variable 't'. Reorder the terms: -64 + 16t + -1t2 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 16t + -1t2 = 0 Factor a trinomial. (-8 + t)(8 + -1t) = 0Subproblem 1
Set the factor '(-8 + t)' equal to zero and attempt to solve: Simplifying -8 + t = 0 Solving -8 + t = 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 + t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + t = 0 + 8 t = 0 + 8 Combine like terms: 0 + 8 = 8 t = 8 Simplifying t = 8Subproblem 2
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 = 8Solution
t = {8, 8}
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