P(x)=ln(-x^3+6x^2+63x+1)

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Solution for P(x)=ln(-x^3+6x^2+63x+1) equation:


Simplifying
P(x) = ln(-1x3 + 6x2 + 63x + 1)

Multiply P * x
xP = ln(-1x3 + 6x2 + 63x + 1)

Reorder the terms:
xP = ln(1 + 63x + 6x2 + -1x3)
xP = (1 * ln + 63x * ln + 6x2 * ln + -1x3 * ln)
xP = (1ln + 63lnx + 6lnx2 + -1lnx3)

Solving
xP = 1ln + 63lnx + 6lnx2 + -1lnx3

Solving for variable 'x'.

Reorder the terms:
-1ln + -63lnx + -6lnx2 + lnx3 + xP = 1ln + 63lnx + 6lnx2 + -1lnx3 + -1ln + -63lnx + -6lnx2 + lnx3

Reorder the terms:
-1ln + -63lnx + -6lnx2 + lnx3 + xP = 1ln + -1ln + 63lnx + -63lnx + 6lnx2 + -6lnx2 + -1lnx3 + lnx3

Combine like terms: 1ln + -1ln = 0
-1ln + -63lnx + -6lnx2 + lnx3 + xP = 0 + 63lnx + -63lnx + 6lnx2 + -6lnx2 + -1lnx3 + lnx3
-1ln + -63lnx + -6lnx2 + lnx3 + xP = 63lnx + -63lnx + 6lnx2 + -6lnx2 + -1lnx3 + lnx3

Combine like terms: 63lnx + -63lnx = 0
-1ln + -63lnx + -6lnx2 + lnx3 + xP = 0 + 6lnx2 + -6lnx2 + -1lnx3 + lnx3
-1ln + -63lnx + -6lnx2 + lnx3 + xP = 6lnx2 + -6lnx2 + -1lnx3 + lnx3

Combine like terms: 6lnx2 + -6lnx2 = 0
-1ln + -63lnx + -6lnx2 + lnx3 + xP = 0 + -1lnx3 + lnx3
-1ln + -63lnx + -6lnx2 + lnx3 + xP = -1lnx3 + lnx3

Combine like terms: -1lnx3 + lnx3 = 0
-1ln + -63lnx + -6lnx2 + lnx3 + xP = 0

The solution to this equation could not be determined.

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