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

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


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

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

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

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

Multiply (7 + x) * (7 + x)
7f + fx = (7(7 + x) + x(7 + x)) + 6(x + 7) + 3
7f + fx = ((7 * 7 + x * 7) + x(7 + x)) + 6(x + 7) + 3
7f + fx = ((49 + 7x) + x(7 + x)) + 6(x + 7) + 3
7f + fx = (49 + 7x + (7 * x + x * x)) + 6(x + 7) + 3
7f + fx = (49 + 7x + (7x + x2)) + 6(x + 7) + 3

Combine like terms: 7x + 7x = 14x
7f + fx = (49 + 14x + x2) + 6(x + 7) + 3

Reorder the terms:
7f + fx = 49 + 14x + x2 + 6(7 + x) + 3
7f + fx = 49 + 14x + x2 + (7 * 6 + x * 6) + 3
7f + fx = 49 + 14x + x2 + (42 + 6x) + 3

Reorder the terms:
7f + fx = 49 + 42 + 3 + 14x + 6x + x2

Combine like terms: 49 + 42 = 91
7f + fx = 91 + 3 + 14x + 6x + x2

Combine like terms: 91 + 3 = 94
7f + fx = 94 + 14x + 6x + x2

Combine like terms: 14x + 6x = 20x
7f + fx = 94 + 20x + x2

Solving
7f + fx = 94 + 20x + x2

Solving for variable 'f'.

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

Reorder the terms:
-94 + 7f + fx + -20x + -1x2 = 94 + 20x + x2 + -94 + -20x + -1x2

Reorder the terms:
-94 + 7f + fx + -20x + -1x2 = 94 + -94 + 20x + -20x + x2 + -1x2

Combine like terms: 94 + -94 = 0
-94 + 7f + fx + -20x + -1x2 = 0 + 20x + -20x + x2 + -1x2
-94 + 7f + fx + -20x + -1x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
-94 + 7f + fx + -20x + -1x2 = 0 + x2 + -1x2
-94 + 7f + fx + -20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-94 + 7f + fx + -20x + -1x2 = 0

The solution to this equation could not be determined.

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