(f-g)(x)=12-x-2x^2

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Solution for (f-g)(x)=12-x-2x^2 equation: 


Simplifying
(f + -1g)(x) = 12 + -1x + -2x2

Reorder the terms for easier multiplication:
x(f + -1g) = 12 + -1x + -2x2
(f * x + -1g * x) = 12 + -1x + -2x2
(fx + -1gx) = 12 + -1x + -2x2

Solving
fx + -1gx = 12 + -1x + -2x2

Solving for variable 'f'.

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

Add 'gx' to each side of the equation.
fx + -1gx + gx = 12 + -1x + gx + -2x2

Combine like terms: -1gx + gx = 0
fx + 0 = 12 + -1x + gx + -2x2
fx = 12 + -1x + gx + -2x2

Reorder the terms:
fx = 12 + gx + -1x + -2x2

Divide each side by 'x'.
f = 12x-1 + g + -1 + -2x

Simplifying
f = 12x-1 + g + -1 + -2x

Reorder the terms:
f = -1 + g + 12x-1 + -2x

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