m^2(x-n)=n^2(x-m)(m^2≠n^2)

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m^2(x-n)=n^2(x-m)(m^2≠n^2)
m^2(x-n)=n^2(x-m)(m^2≠n^2)

m^2(x-n)=n^2(x-m)(m^2≠n^2)
m^2(x-n)=n^2(x-m)(
m^2x-m²n=n^2x-n²m
m²x-n²x=m²n-n²m
(m²-n²)x=m²n-n²m
x=(m²n-n²m)/(m²-n²)
x=[mn(m-n)]/[(m+n)(m-n)]
x=mn/(m+n)

(m^2-n^2)x=nm^2-mn^2=mn(m-n)
(m+n)(m-n)x=mn(m-n)
x=mn/(m+n)

m²x-m²n=n²x-mn²
(m²-n²)x=m²n-mn²
(m+n)*(m-n)x=mn *(m-n)
∵m²≠n² ∴m≠n
∴x=mn÷(m+n)