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Simplifying 5 = -16t2 + 44t + 5 Reorder the terms: 5 = 5 + 44t + -16t2 Add '-5' to each side of the equation. 5 + -5 = 5 + 44t + -5 + -16t2 Combine like terms: 5 + -5 = 0 0 = 5 + 44t + -5 + -16t2 Reorder the terms: 0 = 5 + -5 + 44t + -16t2 Combine like terms: 5 + -5 = 0 0 = 0 + 44t + -16t2 0 = 44t + -16t2 Solving 0 = 44t + -16t2 Solving for variable 't'. Remove the zero: -44t + 16t2 = 44t + -16t2 + -44t + 16t2 Reorder the terms: -44t + 16t2 = 44t + -44t + -16t2 + 16t2 Combine like terms: 44t + -44t = 0 -44t + 16t2 = 0 + -16t2 + 16t2 -44t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -44t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-11 + 4t) = 0 Ignore the factor 4.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 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, 2.75}
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