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Simplifying 36 = 5t + t2 Solving 36 = 5t + t2 Solving for variable 't'. Reorder the terms: 36 + -5t + -1t2 = 5t + -5t + t2 + -1t2 Combine like terms: 5t + -5t = 0 36 + -5t + -1t2 = 0 + t2 + -1t2 36 + -5t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 36 + -5t + -1t2 = 0 Factor a trinomial. (4 + -1t)(9 + t) = 0Subproblem 1
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Subproblem 2
Set the factor '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 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 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9Solution
t = {4, -9}
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