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Simplifying h = -16t2 + Vt + h Reorder the terms: h = h + tV + -16t2 Add '-1h' to each side of the equation. h + -1h = h + tV + -1h + -16t2 Combine like terms: h + -1h = 0 0 = h + tV + -1h + -16t2 Reorder the terms: 0 = h + -1h + tV + -16t2 Combine like terms: h + -1h = 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), 't'. t(-1V + 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 '(-1V + 16t)' equal to zero and attempt to solve: Simplifying -1V + 16t = 0 Solving -1V + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add 'V' to each side of the equation. -1V + V + 16t = 0 + V Combine like terms: -1V + V = 0 0 + 16t = 0 + V 16t = 0 + V Remove the zero: 16t = V Divide each side by '16'. t = 0.0625V Simplifying t = 0.0625VSolution
t = {0, 0.0625V}
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