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

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


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

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

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

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

Solving for variable 'f'.

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

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

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

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

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

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

The solution to this equation could not be determined.

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