f(x+5)=x^2+10x+25+7x+35+7

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Solution for f(x+5)=x^2+10x+25+7x+35+7 equation: 


Simplifying
f(x + 5) = x2 + 10x + 25 + 7x + 35 + 7

Reorder the terms:
f(5 + x) = x2 + 10x + 25 + 7x + 35 + 7
(5 * f + x * f) = x2 + 10x + 25 + 7x + 35 + 7
(5f + fx) = x2 + 10x + 25 + 7x + 35 + 7

Reorder the terms:
5f + fx = 25 + 35 + 7 + 10x + 7x + x2

Combine like terms: 25 + 35 = 60
5f + fx = 60 + 7 + 10x + 7x + x2

Combine like terms: 60 + 7 = 67
5f + fx = 67 + 10x + 7x + x2

Combine like terms: 10x + 7x = 17x
5f + fx = 67 + 17x + x2

Solving
5f + fx = 67 + 17x + x2

Solving for variable 'f'.

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

Reorder the terms:
-67 + 5f + fx + -17x + -1x2 = 67 + 17x + x2 + -67 + -17x + -1x2

Reorder the terms:
-67 + 5f + fx + -17x + -1x2 = 67 + -67 + 17x + -17x + x2 + -1x2

Combine like terms: 67 + -67 = 0
-67 + 5f + fx + -17x + -1x2 = 0 + 17x + -17x + x2 + -1x2
-67 + 5f + fx + -17x + -1x2 = 17x + -17x + x2 + -1x2

Combine like terms: 17x + -17x = 0
-67 + 5f + fx + -17x + -1x2 = 0 + x2 + -1x2
-67 + 5f + fx + -17x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-67 + 5f + fx + -17x + -1x2 = 0

The solution to this equation could not be determined.

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