f(x)=x^2+3f(x)

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Solution for f(x)=x^2+3f(x) equation:


Simplifying
f(x) = x2 + 3f(x)

Multiply f * x
fx = x2 + 3f(x)

Multiply f * x
fx = x2 + 3fx

Reorder the terms:
fx = 3fx + x2

Solving
fx = 3fx + x2

Solving for variable 'f'.

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

Add '-3fx' to each side of the equation.
fx + -3fx = 3fx + -3fx + x2

Combine like terms: fx + -3fx = -2fx
-2fx = 3fx + -3fx + x2

Combine like terms: 3fx + -3fx = 0
-2fx = 0 + x2
-2fx = x2

Divide each side by '-2x'.
f = -0.5x

Simplifying
f = -0.5x

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