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Simplifying 36 = t(t + -5) Reorder the terms: 36 = t(-5 + t) 36 = (-5 * t + t * t) 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. (9 + -1t)(4 + t) = 0Subproblem 1
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 = 9Subproblem 2
Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 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 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Solution
t = {9, -4}
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