F(x)=x^2-4x+6f(x-1)

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Solution for F(x)=x^2-4x+6f(x-1) equation: 


Simplifying
F(x) = x2 + -4x + 6f(x + -1)

Multiply F * x
xF = x2 + -4x + 6f(x + -1)

Reorder the terms:
xF = x2 + -4x + 6f(-1 + x)
xF = x2 + -4x + (-1 * 6f + x * 6f)
xF = x2 + -4x + (-6f + 6fx)

Reorder the terms:
xF = -6f + 6fx + -4x + x2

Solving
xF = -6f + 6fx + -4x + x2

Solving for variable 'x'.

Reorder the terms:
6f + -6fx + 4x + xF + -1x2 = -6f + 6fx + -4x + x2 + 6f + -6fx + 4x + -1x2

Reorder the terms:
6f + -6fx + 4x + xF + -1x2 = -6f + 6f + 6fx + -6fx + -4x + 4x + x2 + -1x2

Combine like terms: -6f + 6f = 0
6f + -6fx + 4x + xF + -1x2 = 0 + 6fx + -6fx + -4x + 4x + x2 + -1x2
6f + -6fx + 4x + xF + -1x2 = 6fx + -6fx + -4x + 4x + x2 + -1x2

Combine like terms: 6fx + -6fx = 0
6f + -6fx + 4x + xF + -1x2 = 0 + -4x + 4x + x2 + -1x2
6f + -6fx + 4x + xF + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
6f + -6fx + 4x + xF + -1x2 = 0 + x2 + -1x2
6f + -6fx + 4x + xF + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6f + -6fx + 4x + xF + -1x2 = 0

The solution to this equation could not be determined.

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