f(x+h)=2x^2+5x+3

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Solution for f(x+h)=2x^2+5x+3 equation:


Simplifying
f(x + h) = 2x2 + 5x + 3

Reorder the terms:
f(h + x) = 2x2 + 5x + 3
(h * f + x * f) = 2x2 + 5x + 3
(fh + fx) = 2x2 + 5x + 3

Reorder the terms:
fh + fx = 3 + 5x + 2x2

Solving
fh + fx = 3 + 5x + 2x2

Solving for variable 'f'.

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

Reorder the terms:
-3 + fh + fx + -5x + -2x2 = 3 + 5x + 2x2 + -3 + -5x + -2x2

Reorder the terms:
-3 + fh + fx + -5x + -2x2 = 3 + -3 + 5x + -5x + 2x2 + -2x2

Combine like terms: 3 + -3 = 0
-3 + fh + fx + -5x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2
-3 + fh + fx + -5x + -2x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
-3 + fh + fx + -5x + -2x2 = 0 + 2x2 + -2x2
-3 + fh + fx + -5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + fh + fx + -5x + -2x2 = 0

The solution to this equation could not be determined.

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