f(x+h)=4x^2+4x+6

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Solution for f(x+h)=4x^2+4x+6 equation:


Simplifying
f(x + h) = 4x2 + 4x + 6

Reorder the terms:
f(h + x) = 4x2 + 4x + 6
(h * f + x * f) = 4x2 + 4x + 6
(fh + fx) = 4x2 + 4x + 6

Reorder the terms:
fh + fx = 6 + 4x + 4x2

Solving
fh + fx = 6 + 4x + 4x2

Solving for variable 'f'.

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

Reorder the terms:
-6 + fh + fx + -4x + -4x2 = 6 + 4x + 4x2 + -6 + -4x + -4x2

Reorder the terms:
-6 + fh + fx + -4x + -4x2 = 6 + -6 + 4x + -4x + 4x2 + -4x2

Combine like terms: 6 + -6 = 0
-6 + fh + fx + -4x + -4x2 = 0 + 4x + -4x + 4x2 + -4x2
-6 + fh + fx + -4x + -4x2 = 4x + -4x + 4x2 + -4x2

Combine like terms: 4x + -4x = 0
-6 + fh + fx + -4x + -4x2 = 0 + 4x2 + -4x2
-6 + fh + fx + -4x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6 + fh + fx + -4x + -4x2 = 0

The solution to this equation could not be determined.

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