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Simplifying 0 = -16t2 + 225t Reorder the terms: 0 = 225t + -16t2 Solving 0 = 225t + -16t2 Solving for variable 't'. Remove the zero: -225t + 16t2 = 225t + -16t2 + -225t + 16t2 Reorder the terms: -225t + 16t2 = 225t + -225t + -16t2 + 16t2 Combine like terms: 225t + -225t = 0 -225t + 16t2 = 0 + -16t2 + 16t2 -225t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -225t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-225 + 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 '(-225 + 16t)' equal to zero and attempt to solve: Simplifying -225 + 16t = 0 Solving -225 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + 16t = 0 + 225 Combine like terms: -225 + 225 = 0 0 + 16t = 0 + 225 16t = 0 + 225 Combine like terms: 0 + 225 = 225 16t = 225 Divide each side by '16'. t = 14.0625 Simplifying t = 14.0625Solution
t = {0, 14.0625}
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