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

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


Simplifying
f(2x) = 3x2 + 5

Remove parenthesis around (2x)
f * 2x = 3x2 + 5

Reorder the terms for easier multiplication:
2f * x = 3x2 + 5

Multiply f * x
2fx = 3x2 + 5

Reorder the terms:
2fx = 5 + 3x2

Solving
2fx = 5 + 3x2

Solving for variable 'f'.

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

Divide each side by '2x'.
f = 2.5x-1 + 1.5x

Simplifying
f = 2.5x-1 + 1.5x

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