F(x)=.5X^4-3x^2+6x-1

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Solution for F(x)=.5X^4-3x^2+6x-1 equation:


Simplifying
F(x) = 0.5X4 + -3x2 + 6x + -1

Multiply F * x
xF = 0.5X4 + -3x2 + 6x + -1

Reorder the terms:
xF = -1 + 0.5X4 + 6x + -3x2

Solving
xF = -1 + 0.5X4 + 6x + -3x2

Solving for variable 'x'.

Reorder the terms:
1 + -0.5X4 + -6x + xF + 3x2 = -1 + 0.5X4 + 6x + -3x2 + 1 + -0.5X4 + -6x + 3x2

Reorder the terms:
1 + -0.5X4 + -6x + xF + 3x2 = -1 + 1 + 0.5X4 + -0.5X4 + 6x + -6x + -3x2 + 3x2

Combine like terms: -1 + 1 = 0
1 + -0.5X4 + -6x + xF + 3x2 = 0 + 0.5X4 + -0.5X4 + 6x + -6x + -3x2 + 3x2
1 + -0.5X4 + -6x + xF + 3x2 = 0.5X4 + -0.5X4 + 6x + -6x + -3x2 + 3x2

Combine like terms: 0.5X4 + -0.5X4 = 0.0
1 + -0.5X4 + -6x + xF + 3x2 = 0.0 + 6x + -6x + -3x2 + 3x2
1 + -0.5X4 + -6x + xF + 3x2 = 6x + -6x + -3x2 + 3x2

Combine like terms: 6x + -6x = 0
1 + -0.5X4 + -6x + xF + 3x2 = 0 + -3x2 + 3x2
1 + -0.5X4 + -6x + xF + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1 + -0.5X4 + -6x + xF + 3x2 = 0

The solution to this equation could not be determined.

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