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Simplifying (11t + 10)(t + -1) = 0 Reorder the terms: (10 + 11t)(t + -1) = 0 Reorder the terms: (10 + 11t)(-1 + t) = 0 Multiply (10 + 11t) * (-1 + t) (10(-1 + t) + 11t * (-1 + t)) = 0 ((-1 * 10 + t * 10) + 11t * (-1 + t)) = 0 ((-10 + 10t) + 11t * (-1 + t)) = 0 (-10 + 10t + (-1 * 11t + t * 11t)) = 0 (-10 + 10t + (-11t + 11t2)) = 0 Combine like terms: 10t + -11t = -1t (-10 + -1t + 11t2) = 0 Solving -10 + -1t + 11t2 = 0 Solving for variable 't'. Factor a trinomial. (-10 + -11t)(1 + -1t) = 0Subproblem 1
Set the factor '(-10 + -11t)' equal to zero and attempt to solve: Simplifying -10 + -11t = 0 Solving -10 + -11t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -11t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -11t = 0 + 10 -11t = 0 + 10 Combine like terms: 0 + 10 = 10 -11t = 10 Divide each side by '-11'. t = -0.9090909091 Simplifying t = -0.9090909091Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {-0.9090909091, 1}
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