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Simplifying 16t2 + 105t = 0 Reorder the terms: 105t + 16t2 = 0 Solving 105t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(105 + 16t) = 0Subproblem 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 '(105 + 16t)' equal to zero and attempt to solve: Simplifying 105 + 16t = 0 Solving 105 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 16t = 0 + -105 Combine like terms: 105 + -105 = 0 0 + 16t = 0 + -105 16t = 0 + -105 Combine like terms: 0 + -105 = -105 16t = -105 Divide each side by '16'. t = -6.5625 Simplifying t = -6.5625Solution
t = {0, -6.5625}
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