F(x)=x^4-8x^3+18x^2+6

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Solution for F(x)=x^4-8x^3+18x^2+6 equation:


Simplifying
F(x) = x4 + -8x3 + 18x2 + 6

Multiply F * x
xF = x4 + -8x3 + 18x2 + 6

Reorder the terms:
xF = 6 + 18x2 + -8x3 + x4

Solving
xF = 6 + 18x2 + -8x3 + x4

Solving for variable 'x'.

Reorder the terms:
-6 + xF + -18x2 + 8x3 + -1x4 = 6 + 18x2 + -8x3 + x4 + -6 + -18x2 + 8x3 + -1x4

Reorder the terms:
-6 + xF + -18x2 + 8x3 + -1x4 = 6 + -6 + 18x2 + -18x2 + -8x3 + 8x3 + x4 + -1x4

Combine like terms: 6 + -6 = 0
-6 + xF + -18x2 + 8x3 + -1x4 = 0 + 18x2 + -18x2 + -8x3 + 8x3 + x4 + -1x4
-6 + xF + -18x2 + 8x3 + -1x4 = 18x2 + -18x2 + -8x3 + 8x3 + x4 + -1x4

Combine like terms: 18x2 + -18x2 = 0
-6 + xF + -18x2 + 8x3 + -1x4 = 0 + -8x3 + 8x3 + x4 + -1x4
-6 + xF + -18x2 + 8x3 + -1x4 = -8x3 + 8x3 + x4 + -1x4

Combine like terms: -8x3 + 8x3 = 0
-6 + xF + -18x2 + 8x3 + -1x4 = 0 + x4 + -1x4
-6 + xF + -18x2 + 8x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-6 + xF + -18x2 + 8x3 + -1x4 = 0

The solution to this equation could not be determined.

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