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Simplifying -16t2 + 57t = 0 Reorder the terms: 57t + -16t2 = 0 Solving 57t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(57 + -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 '(57 + -16t)' equal to zero and attempt to solve: Simplifying 57 + -16t = 0 Solving 57 + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -16t = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -16t = 0 + -57 -16t = 0 + -57 Combine like terms: 0 + -57 = -57 -16t = -57 Divide each side by '-16'. t = 3.5625 Simplifying t = 3.5625Solution
t = {0, 3.5625}
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