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Simplifying -16t2 + 120t = 225 Reorder the terms: 120t + -16t2 = 225 Solving 120t + -16t2 = 225 Solving for variable 't'. Reorder the terms: -225 + 120t + -16t2 = 225 + -225 Combine like terms: 225 + -225 = 0 -225 + 120t + -16t2 = 0 Factor a trinomial. (-15 + 4t)(15 + -4t) = 0Subproblem 1
Set the factor '(-15 + 4t)' equal to zero and attempt to solve: Simplifying -15 + 4t = 0 Solving -15 + 4t = 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 + 4t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4t = 0 + 15 4t = 0 + 15 Combine like terms: 0 + 15 = 15 4t = 15 Divide each side by '4'. t = 3.75 Simplifying t = 3.75Subproblem 2
Set the factor '(15 + -4t)' equal to zero and attempt to solve: Simplifying 15 + -4t = 0 Solving 15 + -4t = 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 + -4t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4t = 0 + -15 -4t = 0 + -15 Combine like terms: 0 + -15 = -15 -4t = -15 Divide each side by '-4'. t = 3.75 Simplifying t = 3.75Solution
t = {3.75, 3.75}
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