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(x-7)(x-4)+(x-6)(x-5)/(x-5)(x-7)=10/3
We move all terms to the left:
(x-7)(x-4)+(x-6)(x-5)/(x-5)(x-7)-(10/3)=0
Domain of the equation: (x-5)(x-7)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
x-5)(x!=7
x∈R
(x-7)(x-4)+(x-6)(x-5)/(x-5)(x-7)-(+10/3)=0
We get rid of parentheses
(x-7)(x-4)+(x-6)(x-5)/(x-5)(x-7)-10/3=0
We multiply parentheses ..
(+x^2-4x-7x+28)+(x-6)(x-5)/(x-5)(x-7)-10/3=0
We calculate fractions
(+x^2-4x-7x+28)+(-10x^2+120x-350)/(3x^2-36x+105)+(3x^2-33x+90)/(3x^2-36x+105)=0
We get rid of parentheses
x^2+(-10x^2+120x-350)/(3x^2-36x+105)-4x-7x+(3x^2-33x+90)/(3x^2-36x+105)+28=0
We multiply all the terms by the denominator
(-10x^2+120x-350)+x^2*(3x^2-36x+105)-4x*(3x^2-36x+105)-7x*(3x^2-36x+105)+(3x^2-33x+90)+28*(3x^2-36x+105)=0
We multiply parentheses
(-10x^2+120x-350)+x^2*(3x^2-36x+105)-12x^3+144x^2-21x^3+252x^2+84x^2-420x-735x+(3x^2-33x+90)-1008x+2940=0
We get rid of parentheses
-10x^2+x^2*(3x^2-36x+105)-12x^3+144x^2-21x^3+252x^2+84x^2+3x^2+120x-420x-735x-33x-1008x-350+90+2940=0
We do not support expression: x^3
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