f(a+2)=-x^2-4x+5

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Solution for f(a+2)=-x^2-4x+5 equation: 


Simplifying
f(a + 2) = -1x2 + -4x + 5

Reorder the terms:
f(2 + a) = -1x2 + -4x + 5
(2 * f + a * f) = -1x2 + -4x + 5

Reorder the terms:
(af + 2f) = -1x2 + -4x + 5
(af + 2f) = -1x2 + -4x + 5

Reorder the terms:
af + 2f = 5 + -4x + -1x2

Solving
af + 2f = 5 + -4x + -1x2

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 = 5 + -4x + -2f + -1x2

Combine like terms: 2f + -2f = 0
af + 0 = 5 + -4x + -2f + -1x2
af = 5 + -4x + -2f + -1x2

Reorder the terms:
af = 5 + -2f + -4x + -1x2

Divide each side by 'f'.
a = 5f-1 + -2 + -4f-1x + -1f-1x2

Simplifying
a = 5f-1 + -2 + -4f-1x + -1f-1x2

Reorder the terms:
a = -2 + 5f-1 + -4f-1x + -1f-1x2

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