f(x+h)=2x^2+3x+9

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Solution for f(x+h)=2x^2+3x+9 equation: 


Simplifying
f(x + h) = 2x2 + 3x + 9

Reorder the terms:
f(h + x) = 2x2 + 3x + 9
(h * f + x * f) = 2x2 + 3x + 9
(fh + fx) = 2x2 + 3x + 9

Reorder the terms:
fh + fx = 9 + 3x + 2x2

Solving
fh + fx = 9 + 3x + 2x2

Solving for variable 'f'.

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

Reorder the terms:
-9 + fh + fx + -3x + -2x2 = 9 + 3x + 2x2 + -9 + -3x + -2x2

Reorder the terms:
-9 + fh + fx + -3x + -2x2 = 9 + -9 + 3x + -3x + 2x2 + -2x2

Combine like terms: 9 + -9 = 0
-9 + fh + fx + -3x + -2x2 = 0 + 3x + -3x + 2x2 + -2x2
-9 + fh + fx + -3x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
-9 + fh + fx + -3x + -2x2 = 0 + 2x2 + -2x2
-9 + fh + fx + -3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-9 + fh + fx + -3x + -2x2 = 0

The solution to this equation could not be determined.

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