400p+500(1-p)=600p+400(1-p)

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Solution for 400p+500(1-p)=600p+400(1-p) equation: 



400p+500(1-p)=600p+400(1-p)

We move all terms to the left:

400p+500(1-p)-(600p+400(1-p))=0

We add all the numbers together, and all the variables

400p+500(-1p+1)-(600p+400(-1p+1))=0

We multiply parentheses

400p-500p-(600p+400(-1p+1))+500=0



We calculate terms in parentheses: -(600p+400(-1p+1)), so:

600p+400(-1p+1)

We multiply parentheses

600p-400p+400

We add all the numbers together, and all the variables

200p+400

Back to the equation:

-(200p+400)



We add all the numbers together, and all the variables

-100p-(200p+400)+500=0

We get rid of parentheses

-100p-200p-400+500=0

We add all the numbers together, and all the variables

-300p+100=0

We move all terms containing p to the left, all other terms to the right

-300p=-100

p=-100/-300

p=1/3

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