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Simplifying t2 + 12t = 45 Reorder the terms: 12t + t2 = 45 Solving 12t + t2 = 45 Solving for variable 't'. Reorder the terms: -45 + 12t + t2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + 12t + t2 = 0 Factor a trinomial. (-15 + -1t)(3 + -1t) = 0Subproblem 1
Set the factor '(-15 + -1t)' equal to zero and attempt to solve: Simplifying -15 + -1t = 0 Solving -15 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1t = 0 + 15 -1t = 0 + 15 Combine like terms: 0 + 15 = 15 -1t = 15 Divide each side by '-1'. t = -15 Simplifying t = -15Subproblem 2
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 = 3Solution
t = {-15, 3}
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