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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), '-1t'. -1t(11 + 6t) = 0 Ignore the factor -1.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 '(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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