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Simplifying -16t2 + 160t + 2304 = 0 Reorder the terms: 2304 + 160t + -16t2 = 0 Solving 2304 + 160t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(144 + 10t + -1t2) = 0 Factor a trinomial. 16((18 + -1t)(8 + t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(18 + -1t)' equal to zero and attempt to solve: Simplifying 18 + -1t = 0 Solving 18 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1t = 0 + -18 -1t = 0 + -18 Combine like terms: 0 + -18 = -18 -1t = -18 Divide each side by '-1'. t = 18 Simplifying t = 18Subproblem 2
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 = -8Solution
t = {18, -8}
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