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Simplifying 0 = -16t2 + 11t + 0 Reorder the terms: 0 = 0 + 11t + -16t2 Remove the zero: 0 = 11t + -16t2 Solving 0 = 11t + -16t2 Solving for variable 't'. Remove the zero: -11t + 16t2 = 11t + -16t2 + -11t + 16t2 Reorder the terms: -11t + 16t2 = 11t + -11t + -16t2 + 16t2 Combine like terms: 11t + -11t = 0 -11t + 16t2 = 0 + -16t2 + 16t2 -11t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -11t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-11 + 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 '(-11 + 16t)' equal to zero and attempt to solve: Simplifying -11 + 16t = 0 Solving -11 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 16t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 16t = 0 + 11 16t = 0 + 11 Combine like terms: 0 + 11 = 11 16t = 11 Divide each side by '16'. t = 0.6875 Simplifying t = 0.6875Solution
t = {0, 0.6875}
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