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Simplifying t2 = -10t + 11 Reorder the terms: t2 = 11 + -10t Solving t2 = 11 + -10t Solving for variable 't'. Reorder the terms: -11 + 10t + t2 = 11 + -10t + -11 + 10t Reorder the terms: -11 + 10t + t2 = 11 + -11 + -10t + 10t Combine like terms: 11 + -11 = 0 -11 + 10t + t2 = 0 + -10t + 10t -11 + 10t + t2 = -10t + 10t Combine like terms: -10t + 10t = 0 -11 + 10t + t2 = 0 Factor a trinomial. (-11 + -1t)(1 + -1t) = 0Subproblem 1
Set the factor '(-11 + -1t)' equal to zero and attempt to solve: Simplifying -11 + -1t = 0 Solving -11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1t = 0 + 11 -1t = 0 + 11 Combine like terms: 0 + 11 = 11 -1t = 11 Divide each side by '-1'. t = -11 Simplifying t = -11Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {-11, 1}
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