56t=16t^2+h(t)

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Solution for 56t=16t^2+h(t) equation:


Simplifying
56t = 16t2 + h(t)

Multiply h * t
56t = 16t2 + ht

Reorder the terms:
56t = ht + 16t2

Solving
56t = ht + 16t2

Solving for variable 't'.

Reorder the terms:
-1ht + 56t + -16t2 = ht + 16t2 + -1ht + -16t2

Reorder the terms:
-1ht + 56t + -16t2 = ht + -1ht + 16t2 + -16t2

Combine like terms: ht + -1ht = 0
-1ht + 56t + -16t2 = 0 + 16t2 + -16t2
-1ht + 56t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-1ht + 56t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-1h + 56 + -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 + 56 + -16t)' equal to zero and attempt to solve: Simplifying -1h + 56 + -16t = 0 Reorder the terms: 56 + -1h + -16t = 0 Solving 56 + -1h + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -1h + -56 + -16t = 0 + -56 Reorder the terms: 56 + -56 + -1h + -16t = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -1h + -16t = 0 + -56 -1h + -16t = 0 + -56 Combine like terms: 0 + -56 = -56 -1h + -16t = -56 Add 'h' to each side of the equation. -1h + h + -16t = -56 + h Combine like terms: -1h + h = 0 0 + -16t = -56 + h -16t = -56 + h Divide each side by '-16'. t = 3.5 + -0.0625h Simplifying t = 3.5 + -0.0625h

Solution

t = {0, 3.5 + -0.0625h}

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