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Simplifying t(-11 + t) = -18(2t + 7) (-11 * t + t * t) = -18(2t + 7) (-11t + t2) = -18(2t + 7) Reorder the terms: -11t + t2 = -18(7 + 2t) -11t + t2 = (7 * -18 + 2t * -18) -11t + t2 = (-126 + -36t) Solving -11t + t2 = -126 + -36t Solving for variable 't'. Reorder the terms: 126 + -11t + 36t + t2 = -126 + -36t + 126 + 36t Combine like terms: -11t + 36t = 25t 126 + 25t + t2 = -126 + -36t + 126 + 36t Reorder the terms: 126 + 25t + t2 = -126 + 126 + -36t + 36t Combine like terms: -126 + 126 = 0 126 + 25t + t2 = 0 + -36t + 36t 126 + 25t + t2 = -36t + 36t Combine like terms: -36t + 36t = 0 126 + 25t + t2 = 0 Factor a trinomial. (18 + t)(7 + t) = 0Subproblem 1
Set the factor '(18 + t)' equal to zero and attempt to solve: Simplifying 18 + t = 0 Solving 18 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + t = 0 + -18 t = 0 + -18 Combine like terms: 0 + -18 = -18 t = -18 Simplifying t = -18Subproblem 2
Set the factor '(7 + t)' equal to zero and attempt to solve: Simplifying 7 + t = 0 Solving 7 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + t = 0 + -7 t = 0 + -7 Combine like terms: 0 + -7 = -7 t = -7 Simplifying t = -7Solution
t = {-18, -7}
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