v(t)=(-.847(t^3))+(10.4914t)

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Solution for v(t)=(-.847(t^3))+(10.4914t) equation:


Simplifying
v(t) = (-0.847(t3)) + (10.4914t)

Multiply v * t
tv = (-0.847(t3)) + (10.4914t)

Reorder the terms:
tv = (10.4914t) + (-0.847t3)

Solving
tv = (10.4914t) + (-0.847t3)

Solving for variable 't'.

Reorder the terms:
(-10.4914t) + tv + (0.847t3) = (10.4914t) + (-0.847t3) + (-10.4914t) + (0.847t3)

Reorder the terms:
(-10.4914t) + tv + (0.847t3) = (10.4914t) + (-10.4914t) + (-0.847t3) + (0.847t3)

Combine like terms: (10.4914t) + (-10.4914t) = 0.0000
(-10.4914t) + tv + (0.847t3) = 0.0000 + (-0.847t3) + (0.847t3)
(-10.4914t) + tv + (0.847t3) = (-0.847t3) + (0.847t3)

Combine like terms: (-0.847t3) + (0.847t3) = 0.000
(-10.4914t) + tv + (0.847t3) = 0.000

Factor out the Greatest Common Factor (GCF), 't'.
t(-10.4914 + v + (0.847t2)) = 0.000

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 '(-10.4914 + v + (0.847t2))' equal to zero and attempt to solve: Simplifying -10.4914 + v + (0.847t2) = 0 Reorder the terms: -10.4914 + (0.847t2) + v = 0 Solving -10.4914 + (0.847t2) + v = 0 Move all terms containing t to the left, all other terms to the right. Add '10.4914' to each side of the equation. -10.4914 + (0.847t2) + 10.4914 + v = 0 + 10.4914 Reorder the terms: -10.4914 + 10.4914 + (0.847t2) + v = 0 + 10.4914 Combine like terms: -10.4914 + 10.4914 = 0.0000 0.0000 + (0.847t2) + v = 0 + 10.4914 (0.847t2) + v = 0 + 10.4914 Combine like terms: 0 + 10.4914 = 10.4914 (0.847t2) + v = 10.4914 Add '-1v' to each side of the equation. (0.847t2) + v + -1v = 10.4914 + -1v Combine like terms: v + -1v = 0 (0.847t2) + 0 = 10.4914 + -1v (0.847t2) = 10.4914 + -1v Divide each side by '0.847'. t2 = 12.38654073 + -1.180637544v Simplifying t2 = 12.38654073 + -1.180637544v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

t = {0}

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