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

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



x(x+3)+5x=3+x(x-4)
We move all terms to the left:
x(x+3)+5x-(3+x(x-4))=0
We add all the numbers together, and all the variables
5x+x(x+3)-(3+x(x-4))=0
We multiply parentheses
x^2+5x+3x-(3+x(x-4))=0
We calculate terms in parentheses: -(3+x(x-4)), so:
3+x(x-4)
determiningTheFunctionDomain x(x-4)+3
We multiply parentheses
x^2-4x+3
Back to the equation:
-(x^2-4x+3)
We add all the numbers together, and all the variables
x^2+8x-(x^2-4x+3)=0
We get rid of parentheses
x^2-x^2+8x+4x-3=0
We add all the numbers together, and all the variables
12x-3=0
We move all terms containing x to the left, all other terms to the right
12x=3
x=3/12
x=1/4

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