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Simplifying (t + -5)(t + -5) = 0 Reorder the terms: (-5 + t)(t + -5) = 0 Reorder the terms: (-5 + t)(-5 + t) = 0 Multiply (-5 + t) * (-5 + t) (-5(-5 + t) + t(-5 + t)) = 0 ((-5 * -5 + t * -5) + t(-5 + t)) = 0 ((25 + -5t) + t(-5 + t)) = 0 (25 + -5t + (-5 * t + t * t)) = 0 (25 + -5t + (-5t + t2)) = 0 Combine like terms: -5t + -5t = -10t (25 + -10t + t2) = 0 Solving 25 + -10t + t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + -1t)(5 + -1t) = 0Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {5, 5}
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