f(x+7)=x^2+3x+6

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Solution for f(x+7)=x^2+3x+6 equation:


Simplifying
f(x + 7) = x2 + 3x + 6

Reorder the terms:
f(7 + x) = x2 + 3x + 6
(7 * f + x * f) = x2 + 3x + 6
(7f + fx) = x2 + 3x + 6

Reorder the terms:
7f + fx = 6 + 3x + x2

Solving
7f + fx = 6 + 3x + x2

Solving for variable 'f'.

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

Reorder the terms:
-6 + 7f + fx + -3x + -1x2 = 6 + 3x + x2 + -6 + -3x + -1x2

Reorder the terms:
-6 + 7f + fx + -3x + -1x2 = 6 + -6 + 3x + -3x + x2 + -1x2

Combine like terms: 6 + -6 = 0
-6 + 7f + fx + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
-6 + 7f + fx + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-6 + 7f + fx + -3x + -1x2 = 0 + x2 + -1x2
-6 + 7f + fx + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 7f + fx + -3x + -1x2 = 0

The solution to this equation could not be determined.

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