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Simplifying 0 = -16t2 + 135t Reorder the terms: 0 = 135t + -16t2 Solving 0 = 135t + -16t2 Solving for variable 't'. Remove the zero: -135t + 16t2 = 135t + -16t2 + -135t + 16t2 Reorder the terms: -135t + 16t2 = 135t + -135t + -16t2 + 16t2 Combine like terms: 135t + -135t = 0 -135t + 16t2 = 0 + -16t2 + 16t2 -135t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -135t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-135 + 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 '(-135 + 16t)' equal to zero and attempt to solve: Simplifying -135 + 16t = 0 Solving -135 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 16t = 0 + 135 Combine like terms: -135 + 135 = 0 0 + 16t = 0 + 135 16t = 0 + 135 Combine like terms: 0 + 135 = 135 16t = 135 Divide each side by '16'. t = 8.4375 Simplifying t = 8.4375Solution
t = {0, 8.4375}
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