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Simplifying 16t2 + -60t + 44 = 0 Reorder the terms: 44 + -60t + 16t2 = 0 Solving 44 + -60t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4'. 4(11 + -15t + 4t2) = 0 Factor a trinomial. 4((1 + -1t)(11 + -4t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 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 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 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 = {1, 2.75}
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