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Simplifying (4 + -1t)(6 + t) = 0 Multiply (4 + -1t) * (6 + t) (4(6 + t) + -1t * (6 + t)) = 0 ((6 * 4 + t * 4) + -1t * (6 + t)) = 0 ((24 + 4t) + -1t * (6 + t)) = 0 (24 + 4t + (6 * -1t + t * -1t)) = 0 (24 + 4t + (-6t + -1t2)) = 0 Combine like terms: 4t + -6t = -2t (24 + -2t + -1t2) = 0 Solving 24 + -2t + -1t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + -1t)(6 + t) = 0Subproblem 1
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Subproblem 2
Set the factor '(6 + t)' equal to zero and attempt to solve: Simplifying 6 + t = 0 Solving 6 + t = 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 + t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + t = 0 + -6 t = 0 + -6 Combine like terms: 0 + -6 = -6 t = -6 Simplifying t = -6Solution
t = {4, -6}
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