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Simplifying -16t2 + 45t = 0 Reorder the terms: 45t + -16t2 = 0 Solving 45t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(45 + -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 '(45 + -16t)' equal to zero and attempt to solve: Simplifying 45 + -16t = 0 Solving 45 + -16t = 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 + -16t = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -16t = 0 + -45 -16t = 0 + -45 Combine like terms: 0 + -45 = -45 -16t = -45 Divide each side by '-16'. t = 2.8125 Simplifying t = 2.8125Solution
t = {0, 2.8125}
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