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Simplifying 0 = (-16) * t2 + (-50) * t Reorder the terms: 0 = -50t + -16t2 Solving 0 = -50t + -16t2 Solving for variable 't'. Remove the zero: 50t + 16t2 = -50t + -16t2 + 50t + 16t2 Reorder the terms: 50t + 16t2 = -50t + 50t + -16t2 + 16t2 Combine like terms: -50t + 50t = 0 50t + 16t2 = 0 + -16t2 + 16t2 50t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 50t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(25 + 8t) = 0 Ignore the factor 2.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 '(25 + 8t)' equal to zero and attempt to solve: Simplifying 25 + 8t = 0 Solving 25 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 8t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8t = 0 + -25 8t = 0 + -25 Combine like terms: 0 + -25 = -25 8t = -25 Divide each side by '8'. t = -3.125 Simplifying t = -3.125Solution
t = {0, -3.125}
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