f(x)=x^4-5x^3+5x^2+5x-6f(2)

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Solution for f(x)=x^4-5x^3+5x^2+5x-6f(2) equation:


Simplifying
f(x) = x4 + -5x3 + 5x2 + 5x + -6f(2)

Multiply f * x
fx = x4 + -5x3 + 5x2 + 5x + -6f(2)

Reorder the terms for easier multiplication:
fx = x4 + -5x3 + 5x2 + 5x + -6 * 2f

Multiply -6 * 2
fx = x4 + -5x3 + 5x2 + 5x + -12f

Reorder the terms:
fx = -12f + 5x + 5x2 + -5x3 + x4

Solving
fx = -12f + 5x + 5x2 + -5x3 + x4

Solving for variable 'f'.

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

Add '12f' to each side of the equation.
12f + fx = -12f + 5x + 5x2 + -5x3 + 12f + x4

Reorder the terms:
12f + fx = -12f + 12f + 5x + 5x2 + -5x3 + x4

Combine like terms: -12f + 12f = 0
12f + fx = 0 + 5x + 5x2 + -5x3 + x4
12f + fx = 5x + 5x2 + -5x3 + x4

Reorder the terms:
12f + fx + -5x + -5x2 + 5x3 + -1x4 = 5x + -5x + 5x2 + -5x2 + -5x3 + 5x3 + x4 + -1x4

Combine like terms: 5x + -5x = 0
12f + fx + -5x + -5x2 + 5x3 + -1x4 = 0 + 5x2 + -5x2 + -5x3 + 5x3 + x4 + -1x4
12f + fx + -5x + -5x2 + 5x3 + -1x4 = 5x2 + -5x2 + -5x3 + 5x3 + x4 + -1x4

Combine like terms: 5x2 + -5x2 = 0
12f + fx + -5x + -5x2 + 5x3 + -1x4 = 0 + -5x3 + 5x3 + x4 + -1x4
12f + fx + -5x + -5x2 + 5x3 + -1x4 = -5x3 + 5x3 + x4 + -1x4

Combine like terms: -5x3 + 5x3 = 0
12f + fx + -5x + -5x2 + 5x3 + -1x4 = 0 + x4 + -1x4
12f + fx + -5x + -5x2 + 5x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
12f + fx + -5x + -5x2 + 5x3 + -1x4 = 0

The solution to this equation could not be determined.

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