(3x+4)(x-5)=(3x+4)(x-7)

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Solution for (3x+4)(x-5)=(3x+4)(x-7) equation:



(3x+4)(x-5)=(3x+4)(x-7)
We move all terms to the left:
(3x+4)(x-5)-((3x+4)(x-7))=0
We multiply parentheses ..
(+3x^2-15x+4x-20)-((3x+4)(x-7))=0
We calculate terms in parentheses: -((3x+4)(x-7)), so:
(3x+4)(x-7)
We multiply parentheses ..
(+3x^2-21x+4x-28)
We get rid of parentheses
3x^2-21x+4x-28
We add all the numbers together, and all the variables
3x^2-17x-28
Back to the equation:
-(3x^2-17x-28)
We get rid of parentheses
3x^2-3x^2-15x+4x+17x-20+28=0
We add all the numbers together, and all the variables
6x+8=0
We move all terms containing x to the left, all other terms to the right
6x=-8
x=-8/6
x=-1+1/3

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