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Simplifying 16t2 + 104t + 560 = 560 Reorder the terms: 560 + 104t + 16t2 = 560 Add '-560' to each side of the equation. 560 + 104t + -560 + 16t2 = 560 + -560 Reorder the terms: 560 + -560 + 104t + 16t2 = 560 + -560 Combine like terms: 560 + -560 = 0 0 + 104t + 16t2 = 560 + -560 104t + 16t2 = 560 + -560 Combine like terms: 560 + -560 = 0 104t + 16t2 = 0 Solving 104t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8t'. 8t(13 + 2t) = 0 Ignore the factor 8.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(13 + 2t)' equal to zero and attempt to solve: Simplifying 13 + 2t = 0 Solving 13 + 2t = 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 + 2t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2t = 0 + -13 2t = 0 + -13 Combine like terms: 0 + -13 = -13 2t = -13 Divide each side by '2'. t = -6.5 Simplifying t = -6.5Solution
t = {0, -6.5}
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