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Simplifying 0 = -16t2 + 180t Reorder the terms: 0 = 180t + -16t2 Solving 0 = 180t + -16t2 Solving for variable 't'. Remove the zero: -180t + 16t2 = 180t + -16t2 + -180t + 16t2 Reorder the terms: -180t + 16t2 = 180t + -180t + -16t2 + 16t2 Combine like terms: 180t + -180t = 0 -180t + 16t2 = 0 + -16t2 + 16t2 -180t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -180t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-45 + 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 '(-45 + 4t)' equal to zero and attempt to solve: Simplifying -45 + 4t = 0 Solving -45 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 4t = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 4t = 0 + 45 4t = 0 + 45 Combine like terms: 0 + 45 = 45 4t = 45 Divide each side by '4'. t = 11.25 Simplifying t = 11.25Solution
t = {0, 11.25}
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