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Simplifying -16t2 + 2320t + -40000 = 0 Reorder the terms: -40000 + 2320t + -16t2 = 0 Solving -40000 + 2320t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(-2500 + 145t + -1t2) = 0 Factor a trinomial. 16((-125 + t)(20 + -1t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-125 + t)' equal to zero and attempt to solve: Simplifying -125 + t = 0 Solving -125 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + t = 0 + 125 Combine like terms: -125 + 125 = 0 0 + t = 0 + 125 t = 0 + 125 Combine like terms: 0 + 125 = 125 t = 125 Simplifying t = 125Subproblem 2
Set the factor '(20 + -1t)' equal to zero and attempt to solve: Simplifying 20 + -1t = 0 Solving 20 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = 0 + -20 -1t = 0 + -20 Combine like terms: 0 + -20 = -20 -1t = -20 Divide each side by '-1'. t = 20 Simplifying t = 20Solution
t = {125, 20}
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