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Simplifying 23t + -1t2 = 120 Solving 23t + -1t2 = 120 Solving for variable 't'. Reorder the terms: -120 + 23t + -1t2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + 23t + -1t2 = 0 Factor a trinomial. (-15 + t)(8 + -1t) = 0Subproblem 1
Set the factor '(-15 + t)' equal to zero and attempt to solve: Simplifying -15 + t = 0 Solving -15 + t = 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 + t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + t = 0 + 15 t = 0 + 15 Combine like terms: 0 + 15 = 15 t = 15 Simplifying t = 15Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Solution
t = {15, 8}
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