X(2x-9)=(2x+9)(x-6)

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Solution for X(2x-9)=(2x+9)(x-6) equation: 



X(2X-9)=(2X+9)(X-6)

We move all terms to the left:

X(2X-9)-((2X+9)(X-6))=0

We multiply parentheses

2X^2-9X-((2X+9)(X-6))=0

We multiply parentheses ..

2X^2-((+2X^2-12X+9X-54))-9X=0



We calculate terms in parentheses: -((+2X^2-12X+9X-54)), so:

(+2X^2-12X+9X-54)

We get rid of parentheses

2X^2-12X+9X-54

We add all the numbers together, and all the variables

2X^2-3X-54

Back to the equation:

-(2X^2-3X-54)



We add all the numbers together, and all the variables

2X^2-9X-(2X^2-3X-54)=0

We get rid of parentheses

2X^2-2X^2-9X+3X+54=0

We add all the numbers together, and all the variables

-6X+54=0

We move all terms containing X to the left, all other terms to the right

-6X=-54

X=-54/-6

X=+9

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