f(x^2+3)=x^4+6X^2+9

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Solution for f(x^2+3)=x^4+6X^2+9 equation: 


Simplifying
f(x2 + 3) = x4 + 6X2 + 9

Reorder the terms:
f(3 + x2) = x4 + 6X2 + 9
(3 * f + x2 * f) = x4 + 6X2 + 9
(3f + fx2) = x4 + 6X2 + 9

Reorder the terms:
3f + fx2 = 9 + 6X2 + x4

Solving
3f + fx2 = 9 + 6X2 + x4

Solving for variable 'f'.

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

Reorder the terms:
-9 + -6X2 + 3f + fx2 + -1x4 = 9 + 6X2 + x4 + -9 + -6X2 + -1x4

Reorder the terms:
-9 + -6X2 + 3f + fx2 + -1x4 = 9 + -9 + 6X2 + -6X2 + x4 + -1x4

Combine like terms: 9 + -9 = 0
-9 + -6X2 + 3f + fx2 + -1x4 = 0 + 6X2 + -6X2 + x4 + -1x4
-9 + -6X2 + 3f + fx2 + -1x4 = 6X2 + -6X2 + x4 + -1x4

Combine like terms: 6X2 + -6X2 = 0
-9 + -6X2 + 3f + fx2 + -1x4 = 0 + x4 + -1x4
-9 + -6X2 + 3f + fx2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-9 + -6X2 + 3f + fx2 + -1x4 = 0

The solution to this equation could not be determined.

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