f(x+6)=x^2+3x-9

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


Simplifying
f(x + 6) = x2 + 3x + -9

Reorder the terms:
f(6 + x) = x2 + 3x + -9
(6 * f + x * f) = x2 + 3x + -9
(6f + fx) = x2 + 3x + -9

Reorder the terms:
6f + fx = -9 + 3x + x2

Solving
6f + fx = -9 + 3x + x2

Solving for variable 'f'.

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

Reorder the terms:
9 + 6f + fx + -3x + -1x2 = -9 + 3x + x2 + 9 + -3x + -1x2

Reorder the terms:
9 + 6f + fx + -3x + -1x2 = -9 + 9 + 3x + -3x + x2 + -1x2

Combine like terms: -9 + 9 = 0
9 + 6f + fx + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
9 + 6f + fx + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
9 + 6f + fx + -3x + -1x2 = 0 + x2 + -1x2
9 + 6f + fx + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6f + fx + -3x + -1x2 = 0

The solution to this equation could not be determined.

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