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Simplifying 10 = -16t2 + -44t Reorder the terms: 10 = -44t + -16t2 Solving 10 = -44t + -16t2 Solving for variable 't'. Reorder the terms: 10 + 44t + 16t2 = -44t + 44t + -16t2 + 16t2 Combine like terms: -44t + 44t = 0 10 + 44t + 16t2 = 0 + -16t2 + 16t2 10 + 44t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 10 + 44t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 22t + 8t2) = 0 Factor a trinomial. 2((5 + 2t)(1 + 4t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 2t)' equal to zero and attempt to solve: Simplifying 5 + 2t = 0 Solving 5 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2t = 0 + -5 2t = 0 + -5 Combine like terms: 0 + -5 = -5 2t = -5 Divide each side by '2'. t = -2.5 Simplifying t = -2.5Subproblem 2
Set the factor '(1 + 4t)' equal to zero and attempt to solve: Simplifying 1 + 4t = 0 Solving 1 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 0 + -1 4t = 0 + -1 Combine like terms: 0 + -1 = -1 4t = -1 Divide each side by '4'. t = -0.25 Simplifying t = -0.25Solution
t = {-2.5, -0.25}
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