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Simplifying 20t2 + -51t + 27 = 0 Reorder the terms: 27 + -51t + 20t2 = 0 Solving 27 + -51t + 20t2 = 0 Solving for variable 't'. Factor a trinomial. (3 + -4t)(9 + -5t) = 0Subproblem 1
Set the factor '(3 + -4t)' equal to zero and attempt to solve: Simplifying 3 + -4t = 0 Solving 3 + -4t = 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 + -4t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = 0 + -3 -4t = 0 + -3 Combine like terms: 0 + -3 = -3 -4t = -3 Divide each side by '-4'. t = 0.75 Simplifying t = 0.75Subproblem 2
Set the factor '(9 + -5t)' equal to zero and attempt to solve: Simplifying 9 + -5t = 0 Solving 9 + -5t = 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 + -5t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5t = 0 + -9 -5t = 0 + -9 Combine like terms: 0 + -9 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8Solution
t = {0.75, 1.8}
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