-16t^2+40t=ht

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Solution for -16t^2+40t=ht equation:


Simplifying
-16t2 + 40t = ht

Reorder the terms:
40t + -16t2 = ht

Solving
40t + -16t2 = ht

Solving for variable 't'.

Reorder the terms:
-1ht + 40t + -16t2 = ht + -1ht

Combine like terms: ht + -1ht = 0
-1ht + 40t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-1h + 40 + -16t) = 0

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 = 0

Subproblem 2

Set the factor '(-1h + 40 + -16t)' equal to zero and attempt to solve: Simplifying -1h + 40 + -16t = 0 Reorder the terms: 40 + -1h + -16t = 0 Solving 40 + -1h + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -1h + -40 + -16t = 0 + -40 Reorder the terms: 40 + -40 + -1h + -16t = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1h + -16t = 0 + -40 -1h + -16t = 0 + -40 Combine like terms: 0 + -40 = -40 -1h + -16t = -40 Add 'h' to each side of the equation. -1h + h + -16t = -40 + h Combine like terms: -1h + h = 0 0 + -16t = -40 + h -16t = -40 + h Divide each side by '-16'. t = 2.5 + -0.0625h Simplifying t = 2.5 + -0.0625h

Solution

t = {0, 2.5 + -0.0625h}

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