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Simplifying (t + 3)(t + -6) = 0 Reorder the terms: (3 + t)(t + -6) = 0 Reorder the terms: (3 + t)(-6 + t) = 0 Multiply (3 + t) * (-6 + t) (3(-6 + t) + t(-6 + t)) = 0 ((-6 * 3 + t * 3) + t(-6 + t)) = 0 ((-18 + 3t) + t(-6 + t)) = 0 (-18 + 3t + (-6 * t + t * t)) = 0 (-18 + 3t + (-6t + t2)) = 0 Combine like terms: 3t + -6t = -3t (-18 + -3t + t2) = 0 Solving -18 + -3t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-3 + -1t)(6 + -1t) = 0Subproblem 1
Set the factor '(-3 + -1t)' equal to zero and attempt to solve: Simplifying -3 + -1t = 0 Solving -3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = 0 + 3 -1t = 0 + 3 Combine like terms: 0 + 3 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6Solution
t = {-3, 6}
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