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Simplifying (5t + 11)(t + 10) = 0 Reorder the terms: (11 + 5t)(t + 10) = 0 Reorder the terms: (11 + 5t)(10 + t) = 0 Multiply (11 + 5t) * (10 + t) (11(10 + t) + 5t * (10 + t)) = 0 ((10 * 11 + t * 11) + 5t * (10 + t)) = 0 ((110 + 11t) + 5t * (10 + t)) = 0 (110 + 11t + (10 * 5t + t * 5t)) = 0 (110 + 11t + (50t + 5t2)) = 0 Combine like terms: 11t + 50t = 61t (110 + 61t + 5t2) = 0 Solving 110 + 61t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (10 + t)(11 + 5t) = 0Subproblem 1
Set the factor '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 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 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10Subproblem 2
Set the factor '(11 + 5t)' equal to zero and attempt to solve: Simplifying 11 + 5t = 0 Solving 11 + 5t = 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 + 5t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5t = 0 + -11 5t = 0 + -11 Combine like terms: 0 + -11 = -11 5t = -11 Divide each side by '5'. t = -2.2 Simplifying t = -2.2Solution
t = {-10, -2.2}
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