p(f+g)=

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Solution for p(f+g)= equation: 


Simplifying
p(f + g) = 0
(f * p + g * p) = 0
(fp + gp) = 0

Solving
fp + gp = 0

Solving for variable 'f'.

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

Add '-1gp' to each side of the equation.
fp + gp + -1gp = 0 + -1gp

Combine like terms: gp + -1gp = 0
fp + 0 = 0 + -1gp
fp = 0 + -1gp
Remove the zero:
fp = -1gp

Divide each side by 'p'.
f = -1g

Simplifying
f = -1g

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