f(x)+g(x)=(x-5)+(3x^2)

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Solution for f(x)+g(x)=(x-5)+(3x^2) equation:


Simplifying
f(x) + g(x) = (x + -5) + (3x2)

Multiply f * x
fx + g(x) = (x + -5) + (3x2)

Multiply g * x
fx + gx = (x + -5) + (3x2)

Reorder the terms:
fx + gx = (-5 + x) + (3x2)

Remove parenthesis around (-5 + x)
fx + gx = -5 + x + (3x2)

Solving
fx + gx = -5 + x + (3x2)

Solving for variable 'f'.

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

Add '-1gx' to each side of the equation.
fx + gx + -1gx = -5 + x + -1gx + (3x2)

Combine like terms: gx + -1gx = 0
fx + 0 = -5 + x + -1gx + (3x2)
fx = -5 + x + -1gx + (3x2)

Reorder the terms:
fx = -5 + -1gx + x + (3x2)

Divide each side by 'x'.
f = -5x-1 + -1g + 1 + (3x)

Simplifying
f = -5x-1 + -1g + 1 + (3x)

Reorder the terms:
f = 1 + -1g + -5x-1 + (3x)

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