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Simplifying F(t) = -16t2 + 80t Multiply F * t tF = -16t2 + 80t Reorder the terms: tF = 80t + -16t2 Solving tF = 80t + -16t2 Solving for variable 't'. Reorder the terms: -80t + tF + 16t2 = 80t + -16t2 + -80t + 16t2 Reorder the terms: -80t + tF + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 -80t + tF + 16t2 = 0 + -16t2 + 16t2 -80t + tF + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -80t + tF + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-80 + F + 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 '(-80 + F + 16t)' equal to zero and attempt to solve: Simplifying -80 + F + 16t = 0 Solving -80 + F + 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 + F + 80 + 16t = 0 + 80 Reorder the terms: -80 + 80 + F + 16t = 0 + 80 Combine like terms: -80 + 80 = 0 0 + F + 16t = 0 + 80 F + 16t = 0 + 80 Combine like terms: 0 + 80 = 80 F + 16t = 80 Add '-1F' to each side of the equation. F + -1F + 16t = 80 + -1F Combine like terms: F + -1F = 0 0 + 16t = 80 + -1F 16t = 80 + -1F Divide each side by '16'. t = 5 + -0.0625F Simplifying t = 5 + -0.0625FSolution
t = {0, 5 + -0.0625F}
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