P(k)=2x^4-19x^3+51x^2-31x+5

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Solution for P(k)=2x^4-19x^3+51x^2-31x+5 equation: 


Simplifying
P(k) = 2x4 + -19x3 + 51x2 + -31x + 5

Multiply P * k
kP = 2x4 + -19x3 + 51x2 + -31x + 5

Reorder the terms:
kP = 5 + -31x + 51x2 + -19x3 + 2x4

Solving
kP = 5 + -31x + 51x2 + -19x3 + 2x4

Solving for variable 'k'.

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

Divide each side by 'P'.
k = 5P-1 + -31xP-1 + 51x2P-1 + -19x3P-1 + 2x4P-1

Simplifying
k = 5P-1 + -31xP-1 + 51x2P-1 + -19x3P-1 + 2x4P-1

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