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

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


Simplifying
f(a + 2) = x2 + 2x + -2

Reorder the terms:
f(2 + a) = x2 + 2x + -2
(2 * f + a * f) = x2 + 2x + -2

Reorder the terms:
(af + 2f) = x2 + 2x + -2
(af + 2f) = x2 + 2x + -2

Reorder the terms:
af + 2f = -2 + 2x + x2

Solving
af + 2f = -2 + 2x + x2

Solving for variable 'a'.

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

Add '-2f' to each side of the equation.
af + 2f + -2f = -2 + 2x + -2f + x2

Combine like terms: 2f + -2f = 0
af + 0 = -2 + 2x + -2f + x2
af = -2 + 2x + -2f + x2

Reorder the terms:
af = -2 + -2f + 2x + x2

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

Simplifying
a = -2f-1 + -2 + 2f-1x + f-1x2

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

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