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Question

Given the equation: (a-c)(x-a)=m, solve for x.


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Solution

Solving for x:

(a-c)(x-a)=m

Multiplying both sides of the equation by (x-a):

(a-c)(x-a)(x-a)=m(x-a)(a-c)=m(x-a)a-c=mx-mamx=a-c+max=a-c+mamx=am-cm+a

Hence, the value of x is am-cm+a.


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