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Simplifying t2 = 6 + -1t Solving t2 = 6 + -1t Solving for variable 't'. Reorder the terms: -6 + t + t2 = 6 + -1t + -6 + t Reorder the terms: -6 + t + t2 = 6 + -6 + -1t + t Combine like terms: 6 + -6 = 0 -6 + t + t2 = 0 + -1t + t -6 + t + t2 = -1t + t Combine like terms: -1t + t = 0 -6 + t + t2 = 0 Factor a trinomial. (-3 + -1t)(2 + -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 '(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 = 2Solution
t = {-3, 2}
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