f(-x)=(-x)x^2+4(-x)-2

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


Simplifying
f(-1x) = (-1x) * x2 + 4(-1x) + -2

Remove parenthesis around (-1x)
f * -1x = (-1x) * x2 + 4(-1x) + -2

Reorder the terms for easier multiplication:
-1f * x = (-1x) * x2 + 4(-1x) + -2

Multiply f * x
-1fx = (-1x) * x2 + 4(-1x) + -2

Remove parenthesis around (-1x)
-1fx = -1x * x2 + 4(-1x) + -2

Multiply x * x2
-1fx = -1x3 + 4(-1x) + -2

Remove parenthesis around (-1x)
-1fx = -1x3 + 4 * -1x + -2

Multiply 4 * -1
-1fx = -1x3 + -4x + -2

Reorder the terms:
-1fx = -2 + -4x + -1x3

Solving
-1fx = -2 + -4x + -1x3

Solving for variable 'f'.

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

Divide each side by '-1x'.
f = 2x-1 + 4 + x2

Simplifying
f = 2x-1 + 4 + x2

Reorder the terms:
f = 4 + 2x-1 + x2

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