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Simplifying -16t2 + -20t + 104 = 0 Reorder the terms: 104 + -20t + -16t2 = 0 Solving 104 + -20t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4'. 4(26 + -5t + -4t2) = 0 Factor a trinomial. 4((2 + -1t)(13 + 4t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 2
Set the factor '(13 + 4t)' equal to zero and attempt to solve: Simplifying 13 + 4t = 0 Solving 13 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4t = 0 + -13 4t = 0 + -13 Combine like terms: 0 + -13 = -13 4t = -13 Divide each side by '4'. t = -3.25 Simplifying t = -3.25Solution
t = {2, -3.25}
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