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Simplifying -16t2 + 112t + 4160 = 0 Reorder the terms: 4160 + 112t + -16t2 = 0 Solving 4160 + 112t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(260 + 7t + -1t2) = 0 Factor a trinomial. 16((20 + -1t)(13 + t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(20 + -1t)' equal to zero and attempt to solve: Simplifying 20 + -1t = 0 Solving 20 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = 0 + -20 -1t = 0 + -20 Combine like terms: 0 + -20 = -20 -1t = -20 Divide each side by '-1'. t = 20 Simplifying t = 20Subproblem 2
Set the factor '(13 + t)' equal to zero and attempt to solve: Simplifying 13 + t = 0 Solving 13 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + t = 0 + -13 t = 0 + -13 Combine like terms: 0 + -13 = -13 t = -13 Simplifying t = -13Solution
t = {20, -13}
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