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Simplifying 33 = -16t2 + 56t Reorder the terms: 33 = 56t + -16t2 Solving 33 = 56t + -16t2 Solving for variable 't'. Reorder the terms: 33 + -56t + 16t2 = 56t + -56t + -16t2 + 16t2 Combine like terms: 56t + -56t = 0 33 + -56t + 16t2 = 0 + -16t2 + 16t2 33 + -56t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 33 + -56t + 16t2 = 0 Factor a trinomial. (3 + -4t)(11 + -4t) = 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 '(11 + -4t)' equal to zero and attempt to solve: Simplifying 11 + -4t = 0 Solving 11 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4t = 0 + -11 -4t = 0 + -11 Combine like terms: 0 + -11 = -11 -4t = -11 Divide each side by '-4'. t = 2.75 Simplifying t = 2.75Solution
t = {0.75, 2.75}
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