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Simplifying 16t2 + 80t = s(t) Reorder the terms: 80t + 16t2 = s(t) Multiply s * t 80t + 16t2 = st Solving 80t + 16t2 = st Solving for variable 't'. Reorder the terms: -1st + 80t + 16t2 = st + -1st Combine like terms: st + -1st = 0 -1st + 80t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-1s + 80 + 16t) = 0Subproblem 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 '(-1s + 80 + 16t)' equal to zero and attempt to solve: Simplifying -1s + 80 + 16t = 0 Reorder the terms: 80 + -1s + 16t = 0 Solving 80 + -1s + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -1s + -80 + 16t = 0 + -80 Reorder the terms: 80 + -80 + -1s + 16t = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1s + 16t = 0 + -80 -1s + 16t = 0 + -80 Combine like terms: 0 + -80 = -80 -1s + 16t = -80 Add 's' to each side of the equation. -1s + s + 16t = -80 + s Combine like terms: -1s + s = 0 0 + 16t = -80 + s 16t = -80 + s Divide each side by '16'. t = -5 + 0.0625s Simplifying t = -5 + 0.0625sSolution
t = {0, -5 + 0.0625s}
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