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

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



(x+5)(x+2)-3(4x-3)=(x+5)(x+5)
We move all terms to the left:
(x+5)(x+2)-3(4x-3)-((x+5)(x+5))=0
We multiply parentheses
(x+5)(x+2)-12x-((x+5)(x+5))+9=0
We multiply parentheses ..
(+x^2+2x+5x+10)-12x-((x+5)(x+5))+9=0
We calculate terms in parentheses: -((x+5)(x+5)), so:
(x+5)(x+5)
We multiply parentheses ..
(+x^2+5x+5x+25)
We get rid of parentheses
x^2+5x+5x+25
We add all the numbers together, and all the variables
x^2+10x+25
Back to the equation:
-(x^2+10x+25)
We get rid of parentheses
x^2-x^2+2x+5x-12x-10x+10-25+9=0
We add all the numbers together, and all the variables
-15x-6=0
We move all terms containing x to the left, all other terms to the right
-15x=6
x=6/-15
x=-2/5

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