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Simplifying t2 + -12t + -28 = 0 Reorder the terms: -28 + -12t + t2 = 0 Solving -28 + -12t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-2 + -1t)(14 + -1t) = 0Subproblem 1
Set the factor '(-2 + -1t)' equal to zero and attempt to solve: Simplifying -2 + -1t = 0 Solving -2 + -1t = 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 + -1t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 0 + 2 -1t = 0 + 2 Combine like terms: 0 + 2 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2Subproblem 2
Set the factor '(14 + -1t)' equal to zero and attempt to solve: Simplifying 14 + -1t = 0 Solving 14 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1t = 0 + -14 -1t = 0 + -14 Combine like terms: 0 + -14 = -14 -1t = -14 Divide each side by '-1'. t = 14 Simplifying t = 14Solution
t = {-2, 14}
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