S(t)=-t^2+4t+1

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Solution for S(t)=-t^2+4t+1 equation: 


Simplifying
S(t) = -1t2 + 4t + 1

Multiply S * t
tS = -1t2 + 4t + 1

Reorder the terms:
tS = 1 + 4t + -1t2

Solving
tS = 1 + 4t + -1t2

Solving for variable 't'.

Reorder the terms:
-1 + -4t + tS + t2 = 1 + 4t + -1t2 + -1 + -4t + t2

Reorder the terms:
-1 + -4t + tS + t2 = 1 + -1 + 4t + -4t + -1t2 + t2

Combine like terms: 1 + -1 = 0
-1 + -4t + tS + t2 = 0 + 4t + -4t + -1t2 + t2
-1 + -4t + tS + t2 = 4t + -4t + -1t2 + t2

Combine like terms: 4t + -4t = 0
-1 + -4t + tS + t2 = 0 + -1t2 + t2
-1 + -4t + tS + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
-1 + -4t + tS + t2 = 0

The solution to this equation could not be determined.

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