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Simplifying 0 = -6t2 + 11t Reorder the terms: 0 = 11t + -6t2 Solving 0 = 11t + -6t2 Solving for variable 't'. Remove the zero: -11t + 6t2 = 11t + -6t2 + -11t + 6t2 Reorder the terms: -11t + 6t2 = 11t + -11t + -6t2 + 6t2 Combine like terms: 11t + -11t = 0 -11t + 6t2 = 0 + -6t2 + 6t2 -11t + 6t2 = -6t2 + 6t2 Combine like terms: -6t2 + 6t2 = 0 -11t + 6t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-11 + 6t) = 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 + 6t)' equal to zero and attempt to solve: Simplifying -11 + 6t = 0 Solving -11 + 6t = 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 + 6t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6t = 0 + 11 6t = 0 + 11 Combine like terms: 0 + 11 = 11 6t = 11 Divide each side by '6'. t = 1.833333333 Simplifying t = 1.833333333Solution
t = {0, 1.833333333}
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