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Simplifying 20t2 + -61t + 36 = 0 Reorder the terms: 36 + -61t + 20t2 = 0 Solving 36 + -61t + 20t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + -5t)(9 + -4t) = 0Subproblem 1
Set the factor '(4 + -5t)' equal to zero and attempt to solve: Simplifying 4 + -5t = 0 Solving 4 + -5t = 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 + -5t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = 0 + -4 -5t = 0 + -4 Combine like terms: 0 + -4 = -4 -5t = -4 Divide each side by '-5'. t = 0.8 Simplifying t = 0.8Subproblem 2
Set the factor '(9 + -4t)' equal to zero and attempt to solve: Simplifying 9 + -4t = 0 Solving 9 + -4t = 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 + -4t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4t = 0 + -9 -4t = 0 + -9 Combine like terms: 0 + -9 = -9 -4t = -9 Divide each side by '-4'. t = 2.25 Simplifying t = 2.25Solution
t = {0.8, 2.25}
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