(x+5)(x+3)=(x+1)(x+9)

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Solution for (x+5)(x+3)=(x+1)(x+9) equation:



(x+5)(x+3)=(x+1)(x+9)
We move all terms to the left:
(x+5)(x+3)-((x+1)(x+9))=0
We multiply parentheses ..
(+x^2+3x+5x+15)-((x+1)(x+9))=0
We calculate terms in parentheses: -((x+1)(x+9)), so:
(x+1)(x+9)
We multiply parentheses ..
(+x^2+9x+x+9)
We get rid of parentheses
x^2+9x+x+9
We add all the numbers together, and all the variables
x^2+10x+9
Back to the equation:
-(x^2+10x+9)
We get rid of parentheses
x^2-x^2+3x+5x-10x+15-9=0
We add all the numbers together, and all the variables
-2x+6=0
We move all terms containing x to the left, all other terms to the right
-2x=-6
x=-6/-2
x=+3

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