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Simplifying 0 = -16t2 + 164t Reorder the terms: 0 = 164t + -16t2 Solving 0 = 164t + -16t2 Solving for variable 't'. Remove the zero: -164t + 16t2 = 164t + -16t2 + -164t + 16t2 Reorder the terms: -164t + 16t2 = 164t + -164t + -16t2 + 16t2 Combine like terms: 164t + -164t = 0 -164t + 16t2 = 0 + -16t2 + 16t2 -164t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -164t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-41 + 4t) = 0 Ignore the factor 4.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 '(-41 + 4t)' equal to zero and attempt to solve: Simplifying -41 + 4t = 0 Solving -41 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 4t = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 4t = 0 + 41 4t = 0 + 41 Combine like terms: 0 + 41 = 41 4t = 41 Divide each side by '4'. t = 10.25 Simplifying t = 10.25Solution
t = {0, 10.25}
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