H(t)=4.9t^2+14.7t

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Solution for H(t)=4.9t^2+14.7t equation: 


Simplifying
H(t) = 4.9t2 + 14.7t

Multiply H * t
tH = 4.9t2 + 14.7t

Reorder the terms:
tH = 14.7t + 4.9t2

Solving
tH = 14.7t + 4.9t2

Solving for variable 't'.

Reorder the terms:
-14.7t + tH + -4.9t2 = 14.7t + 4.9t2 + -14.7t + -4.9t2

Reorder the terms:
-14.7t + tH + -4.9t2 = 14.7t + -14.7t + 4.9t2 + -4.9t2

Combine like terms: 14.7t + -14.7t = 0.0
-14.7t + tH + -4.9t2 = 0.0 + 4.9t2 + -4.9t2
-14.7t + tH + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
-14.7t + tH + -4.9t2 = 0.0

Factor out the Greatest Common Factor (GCF), 't'.
t(-14.7 + H + -4.9t) = 0.0


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 '(-14.7 + H + -4.9t)' equal to zero and attempt to solve:

Simplifying
-14.7 + H + -4.9t = 0

Solving
-14.7 + H + -4.9t = 0

Move all terms containing t to the left, all other terms to the right.

Add '14.7' to each side of the equation.
-14.7 + H + 14.7 + -4.9t = 0 + 14.7

Reorder the terms:
-14.7 + 14.7 + H + -4.9t = 0 + 14.7

Combine like terms: -14.7 + 14.7 = 0.0
0.0 + H + -4.9t = 0 + 14.7
H + -4.9t = 0 + 14.7

Combine like terms: 0 + 14.7 = 14.7
H + -4.9t = 14.7

Add '-1H' to each side of the equation.
H + -1H + -4.9t = 14.7 + -1H

Combine like terms: H + -1H = 0
0 + -4.9t = 14.7 + -1H
-4.9t = 14.7 + -1H

Divide each side by '-4.9'.
t = -3 + 0.2040816327H

Simplifying
t = -3 + 0.2040816327H
Solution
t = {0, -3 + 0.2040816327H}

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