Solve for p d=(pc)/(p+c)

Math
d=pcp+c
Rewrite the equation as pcp+c=d.
pcp+c=d
Solve for p.
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Multiply each term by p+c and simplify.
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Multiply each term in pcp+c=d by p+c.
pcp+c⋅(p+c)=d⋅(p+c)
Cancel the common factor of p+c.
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Cancel the common factor.
pcp+c⋅(p+c)=d⋅(p+c)
Rewrite the expression.
pc=d⋅(p+c)
pc=d⋅(p+c)
Apply the distributive property.
pc=dp+dc
pc=dp+dc
Subtract dp from both sides of the equation.
pc-dp=dc
Factor p out of pc-dp.
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Factor p out of pc.
p(c)-dp=dc
Factor p out of -dp.
p(c)+p(-d)=dc
Factor p out of p(c)+p(-d).
p(c-d)=dc
p(c-d)=dc
Divide each term by c-d and simplify.
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Divide each term in p(c-d)=dc by c-d.
p(c-d)c-d=dcc-d
Cancel the common factor of c-d.
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Cancel the common factor.
p(c-d)c-d=dcc-d
Divide p by 1.
p=dcc-d
p=dcc-d
p=dcc-d
p=dcc-d
Solve for p d=(pc)/(p+c)

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