2f(x)+f(1-x)=x^2

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


Simplifying
2f(x) + f(1 + -1x) = x2

Multiply f * x
2fx + f(1 + -1x) = x2
2fx + (1 * f + -1x * f) = x2
2fx + (1f + -1fx) = x2

Reorder the terms:
1f + 2fx + -1fx = x2

Combine like terms: 2fx + -1fx = 1fx
1f + 1fx = x2

Solving
1f + 1fx = x2

Solving for variable 'f'.

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

Combine like terms: x2 + -1x2 = 0
1f + 1fx + -1x2 = 0

The solution to this equation could not be determined.

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