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Simplifying 60t + -16t2 = h(t) Multiply h * t 60t + -16t2 = ht Solving 60t + -16t2 = ht Solving for variable 't'. Reorder the terms: -1ht + 60t + -16t2 = ht + -1ht Combine like terms: ht + -1ht = 0 -1ht + 60t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-1h + 60 + -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 + 60 + -16t)' equal to zero and attempt to solve: Simplifying -1h + 60 + -16t = 0 Reorder the terms: 60 + -1h + -16t = 0 Solving 60 + -1h + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -1h + -60 + -16t = 0 + -60 Reorder the terms: 60 + -60 + -1h + -16t = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1h + -16t = 0 + -60 -1h + -16t = 0 + -60 Combine like terms: 0 + -60 = -60 -1h + -16t = -60 Add 'h' to each side of the equation. -1h + h + -16t = -60 + h Combine like terms: -1h + h = 0 0 + -16t = -60 + h -16t = -60 + h Divide each side by '-16'. t = 3.75 + -0.0625h Simplifying t = 3.75 + -0.0625hSolution
t = {0, 3.75 + -0.0625h}
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