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

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


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

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

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

Multiply f * x2
2fx2 = 2x2 + 5x + -3

Reorder the terms:
2fx2 = -3 + 5x + 2x2

Solving
2fx2 = -3 + 5x + 2x2

Solving for variable 'f'.

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

Divide each side by '2x2'.
f = -1.5x-2 + 2.5x-1 + 1

Simplifying
f = -1.5x-2 + 2.5x-1 + 1

Reorder the terms:
f = 1 + -1.5x-2 + 2.5x-1

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