f(a-2)=x^2+4x+3

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Solution for f(a-2)=x^2+4x+3 equation:


Simplifying
f(a + -2) = x2 + 4x + 3

Reorder the terms:
f(-2 + a) = x2 + 4x + 3
(-2 * f + a * f) = x2 + 4x + 3

Reorder the terms:
(af + -2f) = x2 + 4x + 3
(af + -2f) = x2 + 4x + 3

Reorder the terms:
af + -2f = 3 + 4x + x2

Solving
af + -2f = 3 + 4x + 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 = 3 + 4x + 2f + x2

Combine like terms: -2f + 2f = 0
af + 0 = 3 + 4x + 2f + x2
af = 3 + 4x + 2f + x2

Reorder the terms:
af = 3 + 2f + 4x + x2

Divide each side by 'f'.
a = 3f-1 + 2 + 4f-1x + f-1x2

Simplifying
a = 3f-1 + 2 + 4f-1x + f-1x2

Reorder the terms:
a = 2 + 3f-1 + 4f-1x + f-1x2

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