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Simplifying -16t2 + 240t + 4000 = 0 Reorder the terms: 4000 + 240t + -16t2 = 0 Solving 4000 + 240t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(250 + 15t + -1t2) = 0 Factor a trinomial. 16((25 + -1t)(10 + t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(25 + -1t)' equal to zero and attempt to solve: Simplifying 25 + -1t = 0 Solving 25 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1t = 0 + -25 -1t = 0 + -25 Combine like terms: 0 + -25 = -25 -1t = -25 Divide each side by '-1'. t = 25 Simplifying t = 25Subproblem 2
Set the factor '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10Solution
t = {25, -10}
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