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Simplifying -16t2 + 250t = h(t) Reorder the terms: 250t + -16t2 = h(t) Multiply h * t 250t + -16t2 = ht Solving 250t + -16t2 = ht Solving for variable 't'. Reorder the terms: -1ht + 250t + -16t2 = ht + -1ht Combine like terms: ht + -1ht = 0 -1ht + 250t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-1h + 250 + -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 '(-1h + 250 + -16t)' equal to zero and attempt to solve: Simplifying -1h + 250 + -16t = 0 Reorder the terms: 250 + -1h + -16t = 0 Solving 250 + -1h + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -1h + -250 + -16t = 0 + -250 Reorder the terms: 250 + -250 + -1h + -16t = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -1h + -16t = 0 + -250 -1h + -16t = 0 + -250 Combine like terms: 0 + -250 = -250 -1h + -16t = -250 Add 'h' to each side of the equation. -1h + h + -16t = -250 + h Combine like terms: -1h + h = 0 0 + -16t = -250 + h -16t = -250 + h Divide each side by '-16'. t = 15.625 + -0.0625h Simplifying t = 15.625 + -0.0625hSolution
t = {0, 15.625 + -0.0625h}
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