M(t)=0.5t^4+3.45t^3-96.65t^2+347.7t

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Solution for M(t)=0.5t^4+3.45t^3-96.65t^2+347.7t equation: 


Simplifying
M(t) = 0.5t4 + 3.45t3 + -96.65t2 + 347.7t

Multiply M * t
tM = 0.5t4 + 3.45t3 + -96.65t2 + 347.7t

Reorder the terms:
tM = 347.7t + -96.65t2 + 3.45t3 + 0.5t4

Solving
tM = 347.7t + -96.65t2 + 3.45t3 + 0.5t4

Solving for variable 't'.

Reorder the terms:
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = 347.7t + -96.65t2 + 3.45t3 + 0.5t4 + -347.7t + 96.65t2 + -3.45t3 + -0.5t4

Reorder the terms:
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = 347.7t + -347.7t + -96.65t2 + 96.65t2 + 3.45t3 + -3.45t3 + 0.5t4 + -0.5t4

Combine like terms: 347.7t + -347.7t = 0.0
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = 0.0 + -96.65t2 + 96.65t2 + 3.45t3 + -3.45t3 + 0.5t4 + -0.5t4
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = -96.65t2 + 96.65t2 + 3.45t3 + -3.45t3 + 0.5t4 + -0.5t4

Combine like terms: -96.65t2 + 96.65t2 = 0.00
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = 0.00 + 3.45t3 + -3.45t3 + 0.5t4 + -0.5t4
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = 3.45t3 + -3.45t3 + 0.5t4 + -0.5t4

Combine like terms: 3.45t3 + -3.45t3 = 0.00
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = 0.00 + 0.5t4 + -0.5t4
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = 0.5t4 + -0.5t4

Combine like terms: 0.5t4 + -0.5t4 = 0.0
-347.7t + tM + 96.65t2 + -3.45t3 + -0.5t4 = 0.0

Factor out the Greatest Common Factor (GCF), 't'.
t(-347.7 + M + 96.65t + -3.45t2 + -0.5t3) = 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 '(-347.7 + M + 96.65t + -3.45t2 + -0.5t3)' equal to zero and attempt to solve:

Simplifying
-347.7 + M + 96.65t + -3.45t2 + -0.5t3 = 0

Solving
-347.7 + M + 96.65t + -3.45t2 + -0.5t3 = 0

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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