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Simplifying 0 = -16t2 + 185t Reorder the terms: 0 = 185t + -16t2 Solving 0 = 185t + -16t2 Solving for variable 't'. Remove the zero: -185t + 16t2 = 185t + -16t2 + -185t + 16t2 Reorder the terms: -185t + 16t2 = 185t + -185t + -16t2 + 16t2 Combine like terms: 185t + -185t = 0 -185t + 16t2 = 0 + -16t2 + 16t2 -185t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -185t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-185 + 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 '(-185 + 16t)' equal to zero and attempt to solve: Simplifying -185 + 16t = 0 Solving -185 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '185' to each side of the equation. -185 + 185 + 16t = 0 + 185 Combine like terms: -185 + 185 = 0 0 + 16t = 0 + 185 16t = 0 + 185 Combine like terms: 0 + 185 = 185 16t = 185 Divide each side by '16'. t = 11.5625 Simplifying t = 11.5625Solution
t = {0, 11.5625}
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