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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



We calculate terms in parentheses: -(400p+500(-1p+1)), so:

400p+500(-1p+1)

We multiply parentheses

400p-500p+500

We add all the numbers together, and all the variables

-100p+500

Back to the equation:

-(-100p+500)



We add all the numbers together, and all the variables

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

We get rid of parentheses

200p+100p-500+400=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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