(x+15)(x-13)=(x+5)(x+9)

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Solution for (x+15)(x-13)=(x+5)(x+9) equation: 



(x+15)(x-13)=(x+5)(x+9)

We move all terms to the left:

(x+15)(x-13)-((x+5)(x+9))=0

We multiply parentheses ..

(+x^2-13x+15x-195)-((x+5)(x+9))=0



We calculate terms in parentheses: -((x+5)(x+9)), so:

(x+5)(x+9)

We multiply parentheses ..

(+x^2+9x+5x+45)

We get rid of parentheses

x^2+9x+5x+45

We add all the numbers together, and all the variables

x^2+14x+45

Back to the equation:

-(x^2+14x+45)



We get rid of parentheses

x^2-x^2-13x+15x-14x-195-45=0

We add all the numbers together, and all the variables

-12x-240=0

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

-12x=240

x=240/-12

x=-20

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