v(t)=0.173t+0.152t^2-.035t^2

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Solution for v(t)=0.173t+0.152t^2-.035t^2 equation: 


Simplifying
v(t) = 0.173t + 0.152t2 + -0.035t2

Multiply v * t
tv = 0.173t + 0.152t2 + -0.035t2

Combine like terms: 0.152t2 + -0.035t2 = 0.117t2
tv = 0.173t + 0.117t2

Solving
tv = 0.173t + 0.117t2

Solving for variable 't'.

Reorder the terms:
-0.173t + tv + -0.117t2 = 0.173t + 0.117t2 + -0.173t + -0.117t2

Reorder the terms:
-0.173t + tv + -0.117t2 = 0.173t + -0.173t + 0.117t2 + -0.117t2

Combine like terms: 0.173t + -0.173t = 0.000
-0.173t + tv + -0.117t2 = 0.000 + 0.117t2 + -0.117t2
-0.173t + tv + -0.117t2 = 0.117t2 + -0.117t2

Combine like terms: 0.117t2 + -0.117t2 = 0.000
-0.173t + tv + -0.117t2 = 0.000

Factor out the Greatest Common Factor (GCF), 't'.
t(-0.173 + v + -0.117t) = 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 '(-0.173 + v + -0.117t)' equal to zero and attempt to solve:

Simplifying
-0.173 + v + -0.117t = 0

Reorder the terms:
-0.173 + -0.117t + v = 0

Solving
-0.173 + -0.117t + v = 0

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

Add '0.173' to each side of the equation.
-0.173 + -0.117t + 0.173 + v = 0 + 0.173

Reorder the terms:
-0.173 + 0.173 + -0.117t + v = 0 + 0.173

Combine like terms: -0.173 + 0.173 = 0.000
0.000 + -0.117t + v = 0 + 0.173
-0.117t + v = 0 + 0.173

Combine like terms: 0 + 0.173 = 0.173
-0.117t + v = 0.173

Add '-1v' to each side of the equation.
-0.117t + v + -1v = 0.173 + -1v

Combine like terms: v + -1v = 0
-0.117t + 0 = 0.173 + -1v
-0.117t = 0.173 + -1v

Divide each side by '-0.117'.
t = -1.478632479 + 8.547008547v

Simplifying
t = -1.478632479 + 8.547008547v
Solution
t = {0, -1.478632479 + 8.547008547v}

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