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Simplifying 0 = 16t2 + -1443t Reorder the terms: 0 = -1443t + 16t2 Solving 0 = -1443t + 16t2 Solving for variable 't'. Remove the zero: 1443t + -16t2 = -1443t + 16t2 + 1443t + -16t2 Reorder the terms: 1443t + -16t2 = -1443t + 1443t + 16t2 + -16t2 Combine like terms: -1443t + 1443t = 0 1443t + -16t2 = 0 + 16t2 + -16t2 1443t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 1443t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(1443 + -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 '(1443 + -16t)' equal to zero and attempt to solve: Simplifying 1443 + -16t = 0 Solving 1443 + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1443' to each side of the equation. 1443 + -1443 + -16t = 0 + -1443 Combine like terms: 1443 + -1443 = 0 0 + -16t = 0 + -1443 -16t = 0 + -1443 Combine like terms: 0 + -1443 = -1443 -16t = -1443 Divide each side by '-16'. t = 90.1875 Simplifying t = 90.1875Solution
t = {0, 90.1875}
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