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Simplifying t(t + 2) = 99 Reorder the terms: t(2 + t) = 99 (2 * t + t * t) = 99 (2t + t2) = 99 Solving 2t + t2 = 99 Solving for variable 't'. Reorder the terms: -99 + 2t + t2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + 2t + t2 = 0 Factor a trinomial. (-11 + -1t)(9 + -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 '(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 = 9Solution
t = {-11, 9}
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