x(2x-4)=x(2x-3)=(4x+5)(x-4)

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Solution for x(2x-4)=x(2x-3)=(4x+5)(x-4) equation: 



x(2x-4)=x(2x-3)=(4x+5)(x-4)

We move all terms to the left:

x(2x-4)-(x(2x-3))=0

We multiply parentheses

2x^2-4x-(x(2x-3))=0



We calculate terms in parentheses: -(x(2x-3)), so:

x(2x-3)

We multiply parentheses

2x^2-3x

Back to the equation:

-(2x^2-3x)



We get rid of parentheses

2x^2-2x^2-4x+3x=0

We add all the numbers together, and all the variables

-x=0

x=0/-1

x=0

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