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Simplifying 880 = -16t2 + 256t + 0 Reorder the terms: 880 = 0 + 256t + -16t2 Remove the zero: 880 = 256t + -16t2 Solving 880 = 256t + -16t2 Solving for variable 't'. Reorder the terms: 880 + -256t + 16t2 = 256t + -256t + -16t2 + 16t2 Combine like terms: 256t + -256t = 0 880 + -256t + 16t2 = 0 + -16t2 + 16t2 880 + -256t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 880 + -256t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(55 + -16t + t2) = 0 Factor a trinomial. 16((5 + -1t)(11 + -1t)) = 0 Ignore the factor 16.Subproblem 1
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 = 5Subproblem 2
Set the factor '(11 + -1t)' equal to zero and attempt to solve: Simplifying 11 + -1t = 0 Solving 11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1t = 0 + -11 -1t = 0 + -11 Combine like terms: 0 + -11 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11Solution
t = {5, 11}
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