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Simplifying (11t + 5)(6t + -5) = 0 Reorder the terms: (5 + 11t)(6t + -5) = 0 Reorder the terms: (5 + 11t)(-5 + 6t) = 0 Multiply (5 + 11t) * (-5 + 6t) (5(-5 + 6t) + 11t * (-5 + 6t)) = 0 ((-5 * 5 + 6t * 5) + 11t * (-5 + 6t)) = 0 ((-25 + 30t) + 11t * (-5 + 6t)) = 0 (-25 + 30t + (-5 * 11t + 6t * 11t)) = 0 (-25 + 30t + (-55t + 66t2)) = 0 Combine like terms: 30t + -55t = -25t (-25 + -25t + 66t2) = 0 Solving -25 + -25t + 66t2 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -11t)(5 + -6t) = 0Subproblem 1
Set the factor '(-5 + -11t)' equal to zero and attempt to solve: Simplifying -5 + -11t = 0 Solving -5 + -11t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11t = 0 + 5 -11t = 0 + 5 Combine like terms: 0 + 5 = 5 -11t = 5 Divide each side by '-11'. t = -0.4545454545 Simplifying t = -0.4545454545Subproblem 2
Set the factor '(5 + -6t)' equal to zero and attempt to solve: Simplifying 5 + -6t = 0 Solving 5 + -6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6t = 0 + -5 -6t = 0 + -5 Combine like terms: 0 + -5 = -5 -6t = -5 Divide each side by '-6'. t = 0.8333333333 Simplifying t = 0.8333333333Solution
t = {-0.4545454545, 0.8333333333}
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