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Simplifying 24 = 16t2 + vt + 24 Reorder the terms: 24 = 24 + tv + 16t2 Add '-24' to each side of the equation. 24 + -24 = 24 + tv + -24 + 16t2 Combine like terms: 24 + -24 = 0 0 = 24 + tv + -24 + 16t2 Reorder the terms: 0 = 24 + -24 + tv + 16t2 Combine like terms: 24 + -24 = 0 0 = 0 + tv + 16t2 0 = tv + 16t2 Solving 0 = tv + 16t2 Solving for variable 't'. Remove the zero: -1tv + -16t2 = tv + 16t2 + -1tv + -16t2 Reorder the terms: -1tv + -16t2 = tv + -1tv + 16t2 + -16t2 Combine like terms: tv + -1tv = 0 -1tv + -16t2 = 0 + 16t2 + -16t2 -1tv + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -1tv + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(v + 16t) = 0 Ignore the factor -1.Subproblem 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 '(v + 16t)' equal to zero and attempt to solve: Simplifying v + 16t = 0 Reorder the terms: 16t + v = 0 Solving 16t + v = 0 Move all terms containing t to the left, all other terms to the right. Add '-1v' to each side of the equation. 16t + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 16t + 0 = 0 + -1v 16t = 0 + -1v Remove the zero: 16t = -1v Divide each side by '16'. t = -0.0625v Simplifying t = -0.0625vSolution
t = {0, -0.0625v}
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