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Simplifying 18 = t(t + -7) Reorder the terms: 18 = t(-7 + t) 18 = (-7 * t + t * t) 18 = (-7t + t2) Solving 18 = -7t + t2 Solving for variable 't'. Reorder the terms: 18 + 7t + -1t2 = -7t + 7t + t2 + -1t2 Combine like terms: -7t + 7t = 0 18 + 7t + -1t2 = 0 + t2 + -1t2 18 + 7t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 18 + 7t + -1t2 = 0 Factor a trinomial. (9 + -1t)(2 + t) = 0Subproblem 1
Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2Solution
t = {9, -2}
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